ogunmiloro

120 Reputation

6 Badges

6 years, 177 days

MaplePrimes Activity


These are replies submitted by ogunmiloro

@tomleslie 
 

restart:

#
# Statement not terminated in the following - fixed it
#
  B[0]:= 1.7e8:  C[0]:=0:  P[0]:=0.1: E[0]:=2:
#
# Why does this (commented) Digits command exist?
#
#Digits:=10:

#
# OP never uses 'gamma' in this worksheet - why the
# hell unprotect an inbuilt variable for no purpose???
#
unprotect('gamma'):


 A__h := 10:
 beta__1 := 0.34e-1:
 psi__o := 0.25e-1:
 mu := 0.4e-3:
 theta := .7902:
 alpha := .11:
 k := 0.136e-3:
 z := 0.5e-1:
 delta := .7:
 eta := .134:
 xi := .12:
 beta := 0.1e-1:
 Q1 := 1:
 Q2 := 1:
 h := .1:
tau:=1.0;
  kappa:=2.0;
#
# The variables 'tau' and 'kappa' are used in the following,
# but neither of these is defined. Gave them a "random"
# values here just to assist debug
#
  
 

1.0

 

2.0

(1)

#Step 1
n:=100:
#
# Fixed the names of all of the following for some kind
# of consistency
#
lambda1[n] := 0: lambda2[n] := 0: lambda3[n] := 0: lambda4[n] := 0: u0[0] := 0:

for i from 0 to n-1 do

     B[i+1] := h*(theta*E[i]+A__h+B[i])/(1+ psi__o*h*P[i])/(P[i]+xi)+mu+u0[i]+beta*C[i];
#
# Following statement is a recursive assignment.
# It was a recursive assignment the last time the
# OP posted some code, and it is still a recursive
# assignment now!!!!
#
# Let's see if I can make this explanation simple enough
# for the brain-dead.
#
# C[i+1] is undefined. Therefore, assigning C[i+1] in
# terms of C[i+1] is doomed to failure.
#
# Changing C[i+1] to C[i] on the rhs is *may* be incorrect
# but at least the statement can now be evaluated!!
#
#     C[i+1] := h*B[i+1](beta*C[i]-psi[o]*P[i])/(P[i]+xi)-(alpha+mu+k)*C[i+1];
#
# I'm also assumin that psi[o] ought to be psi__o, so
# I made this change
#
     C[i+1] := h*B[i+1](beta*C[i]-psi__o*P[i])/(P[i]+xi)-(alpha+mu+k)*C[i];
     P[i+1] := h*z*C[i+1]/(1+delta+eta);
     E[i+1] := h*(alpha*C[i+1]+B[i+1]*u0[i]+E[i])/(1+theta+mu);

#
# The following statement has one more oopening parenthesis (ie '(')
# than closing parenthesis - again basic syntax
#
# I randomly added a closing parenthesis, just to make it syntactically
# correct, but the odds that I got this closing parenthesis in the
# desired location are almost nil!!!!!
#
#   lambda1[n-i-1] := -h*(Q1+(beta*C[i]+(psi__o*P[i]/(P[i]+xi)))*lambda2[n-i]-lambda1[n-i]-mu+u0[i]/(1+beta*C        [i]+P[i]/(P[i]+xi));
#
  lambda1[n-i-1] := -h*(Q1+(beta*C[i]+(psi__o*P[i]/(P[i]+xi)))*lambda2[n-i]-lambda1[n-i]-mu+u0[i])/(1+beta*C[i]+P[i]/(P[i]+xi));
#
# The variable 'kappa' in the following is undefined
#
  lambda2[n-i-1] := -h*(-beta*B[i+1]*lambda1[n-i-1]+Q2-alpha-mu-kappa+z*lambda3[n-i]+alpha*lambda4[n-i]-lambda2[n-i])/(-beta*B[i+1]+1);

  lambda3[n-i-1] := h*((psi__o*B[i+1]*P[i+1]/(P[i+1]+xi)^2+theta)*lambda1[n-i-1]-lambda2[n-i-1]*psi__o*B[i+1]*P[i+1]/(P[i+1]+xi)^2-lambda3[n-i])/(1+delta+eta);

  lambda4[n-i-1] := h*lambda4[n-i]/(1-theta-mu);
#
# The variable 'tau' was undefined, so (obviously) the
# following cannot be fully evaluated
#

     R1:= (lambda1[n-i-1]-lambda4[n-i-1])*B[i+1]/tau;
#
# Since R1 has not been fully evaluated, u0[i+1] cannot
# be fully evaluated either - and so the chaos continues!
#
    
      u0[i+1] := min(1, max(R1, 0));    
    end do:

#
# These two command are assigned to nothing. They are
# are never used for anything - why do they exist??
#
seq(i,i=0..30):
seq(B[i],i=0..30):

with(plots):

with(DEtools):

#
# The quantity 'h', was earlier defined to be 0.1
# Thus h(t)=0.1, h(0)=0.1 and so on. Probably not
# what the OP desired. Even funnier is when the
# OP uses initial conditions such as h(0)=400,
# which of course will evaluate to 0.1=400. This
# is a whole new level of misunderstanding
#
# Obviously this mean that the definition of these
# ODEs is completely incorrect - so it is a complete\
# waste of time trying to solve them!
#

DE1 := diff(a(t),t) = A__h-beta__1*a(t)*g(t)-psi__o*a(t)*v(t)/(v(t)+xi)-mu*a(t)+theta*m(t);
DE2 := diff(g(t),t) = beta__1*a(t)*g(t)-psi__o*a(t)*v(t)/(v(t)+xi)-(alpha+mu+k)*g(t);
DE3 := diff(v(t),t) = z*g(t)-(delta+eta)*v(t);
DE4 := diff(m(t),t) = alpha*g(t)-(theta+mu)*m(t);

SIRsys := [DE1, DE2, DE3, DE4];
#
# The commands DE1plot(), DE2plot(), DE3plot() DE4plot()
# do not exist in Maple so the following will never
# evaluate. OP (probably??) means DEplot(). However with
# the incorrect use of the name 'h' described above,
# even a syntactically correct command will not
# produce anything meaningful. Correct command with
# crap arguments will still fail!!
#

aplot := DEplot(SIRsys, [a(t), g(t), v(t), m(t)], t = 0 .. 100, a = 0.167e9 .. 0.17e9, [[a(0) = 0.17e9, g(0) = 0, v(0) = 4, m(0) = 2]], scene = [t, a(t)], thickness = 2, linecolor = red, stepsize = .1);

gplot := DEplot(SIRsys, [a(t), g(t), v(t), m(t)], t = 0 .. 100, g = 0 .. 0.211, [[a(0) = 0.17e9, g(0) = 0, v(0) = 4, m(0) = 2]], scene = [t, g(t)], thickness = 2, linecolor = red, stepsize = .1):

vplot := DEplot(SIRsys, [a(t), g(t), v(t), m(t)], t = 0 .. 100, v = 0 .. 0.1e4, [[a(0) = 0.17e9, g(0) = 0, v(0) = 4, m(0) = 2]], scene = [t, v(t)], thickness = 2, linecolor = red, stepsize = .1):

mplot := DEplot(SIRsys, [a(t), g(t), v(t), m(t)], t = 0 .. 100, m = 0 .. 0.1e4, [[a(0) = 0.17e9, g(0) = 0, v(0) = 4, m(0) = 2]], scene = [t, m(t)], thickness = 2, linecolor = red, stepsize = .1):

#
# Did no syntax checking beyond this point becuase I got
# really, REALLY BORED
#

L:=<<seq(i,i=0..100)>|<seq(B[i],i=0..100)>>:
#points:= {seq(B[i],i=0..100)};
 

diff(a(t), t) = 10-0.34e-1*a(t)*g(t)-0.25e-1*a(t)*v(t)/(v(t)+.12)-0.4e-3*a(t)+.7902*m(t)

 

diff(g(t), t) = 0.34e-1*a(t)*g(t)-0.25e-1*a(t)*v(t)/(v(t)+.12)-.110536*g(t)

 

diff(v(t), t) = 0.5e-1*g(t)-.834*v(t)

 

diff(m(t), t) = .11*g(t)-.7906*m(t)

 

[diff(a(t), t) = 10-0.34e-1*a(t)*g(t)-0.25e-1*a(t)*v(t)/(v(t)+.12)-0.4e-3*a(t)+.7902*m(t), diff(g(t), t) = 0.34e-1*a(t)*g(t)-0.25e-1*a(t)*v(t)/(v(t)+.12)-.110536*g(t), diff(v(t), t) = 0.5e-1*g(t)-.834*v(t), diff(m(t), t) = .11*g(t)-.7906*m(t)]

 

Warning, plot may be incomplete, the following errors(s) were issued:
   cannot evaluate the solution further right of .33370860e-5, probably a singularity

 

PLOT(CURVES([[0., 170000000.], [.1000000000, undefined], [.2000000000, undefined], [.3000000000, undefined], [.4000000000, undefined], [.5000000000, undefined], [.6000000000, undefined], [.7000000000, undefined], [.8000000000, undefined], [.9000000000, undefined], [1.000000000, undefined], [1.100000000, undefined], [1.200000000, undefined], [1.300000000, undefined], [1.400000000, undefined], [1.500000000, undefined], [1.600000000, undefined], [1.700000000, undefined], [1.800000000, undefined], [1.900000000, undefined], [2.000000000, undefined], [2.100000000, undefined], [2.200000000, undefined], [2.300000000, undefined], [2.400000000, undefined], [2.500000000, undefined], [2.600000000, undefined], [2.700000000, undefined], [2.800000000, undefined], [2.900000000, undefined], [3.000000000, undefined], [3.100000000, undefined], [3.200000000, undefined], [3.300000000, undefined], [3.400000000, undefined], [3.500000000, undefined], [3.600000000, undefined], [3.700000000, undefined], [3.800000000, undefined], [3.900000000, undefined], [4.000000000, undefined], [4.100000000, undefined], [4.200000000, undefined], [4.300000000, undefined], [4.400000000, undefined], [4.500000000, undefined], [4.600000000, undefined], [4.700000000, undefined], [4.800000000, undefined], [4.900000000, undefined], [5.000000000, undefined], [5.100000000, undefined], [5.200000000, undefined], [5.300000000, undefined], [5.400000000, undefined], [5.500000000, undefined], [5.600000000, undefined], [5.700000000, undefined], [5.800000000, undefined], [5.900000000, undefined], [6.000000000, undefined], [6.100000000, undefined], [6.200000000, undefined], [6.300000000, undefined], [6.400000000, undefined], [6.500000000, undefined], [6.600000000, undefined], [6.700000000, undefined], [6.800000000, undefined], [6.900000000, undefined], [7.000000000, undefined], [7.100000000, undefined], [7.200000000, undefined], [7.300000000, undefined], [7.400000000, undefined], [7.500000000, undefined], [7.600000000, undefined], [7.700000000, undefined], [7.800000000, undefined], [7.900000000, undefined], [8.000000000, undefined], [8.100000000, undefined], [8.200000000, undefined], [8.300000000, undefined], [8.400000000, undefined], [8.500000000, undefined], [8.600000000, undefined], [8.700000000, undefined], [8.800000000, undefined], [8.900000000, undefined], [9.000000000, undefined], [9.100000000, undefined], [9.200000000, undefined], [9.300000000, undefined], [9.400000000, undefined], [9.500000000, undefined], [9.600000000, undefined], [9.700000000, undefined], [9.800000000, undefined], [9.900000000, undefined], [10.00000000, undefined], [10.10000000, undefined], [10.20000000, undefined], [10.30000000, undefined], [10.40000000, undefined], [10.50000000, undefined], [10.60000000, undefined], [10.70000000, undefined], [10.80000000, undefined], [10.90000000, undefined], [11.00000000, undefined], [11.10000000, undefined], [11.20000000, undefined], [11.30000000, undefined], [11.40000000, undefined], [11.50000000, undefined], [11.60000000, undefined], [11.70000000, undefined], [11.80000000, undefined], [11.90000000, undefined], [12.00000000, undefined], [12.10000000, undefined], [12.20000000, undefined], [12.30000000, undefined], [12.40000000, undefined], [12.50000000, undefined], [12.60000000, undefined], [12.70000000, undefined], [12.80000000, undefined], [12.90000000, undefined], [13.00000000, undefined], [13.10000000, undefined], [13.20000000, undefined], [13.30000000, undefined], [13.40000000, undefined], [13.50000000, undefined], [13.60000000, undefined], [13.70000000, undefined], [13.80000000, undefined], [13.90000000, undefined], [14.00000000, undefined], [14.10000000, undefined], [14.20000000, undefined], [14.30000000, undefined], [14.40000000, undefined], [14.50000000, undefined], [14.60000000, undefined], [14.70000000, undefined], [14.80000000, undefined], [14.90000000, undefined], [15.00000000, undefined], [15.10000000, undefined], [15.20000000, undefined], [15.30000000, undefined], [15.40000000, undefined], [15.50000000, undefined], [15.60000000, undefined], [15.70000000, undefined], [15.80000000, undefined], [15.90000000, undefined], [16.00000000, undefined], [16.10000000, undefined], [16.20000000, undefined], [16.30000000, undefined], [16.40000000, undefined], [16.50000000, undefined], [16.60000000, undefined], [16.70000000, undefined], [16.80000000, undefined], [16.90000000, undefined], [17.00000000, undefined], [17.10000000, undefined], [17.20000000, undefined], [17.30000000, undefined], [17.40000000, undefined], [17.50000000, undefined], [17.60000000, undefined], [17.70000000, undefined], [17.80000000, undefined], [17.90000000, undefined], [18.00000000, undefined], [18.10000000, undefined], [18.20000000, undefined], [18.30000000, undefined], [18.40000000, undefined], [18.50000000, undefined], [18.60000000, undefined], [18.70000000, undefined], [18.80000000, undefined], [18.90000000, undefined], [19.00000000, undefined], [19.10000000, undefined], [19.20000000, undefined], [19.30000000, undefined], [19.40000000, undefined], [19.50000000, undefined], [19.60000000, undefined], [19.70000000, undefined], [19.80000000, undefined], [19.90000000, undefined], [20.00000000, undefined], [20.10000000, undefined], [20.20000000, undefined], [20.30000000, undefined], [20.40000000, undefined], [20.50000000, undefined], [20.60000000, undefined], [20.70000000, undefined], [20.80000000, undefined], [20.90000000, undefined], [21.00000000, undefined], [21.10000000, undefined], [21.20000000, undefined], [21.30000000, undefined], [21.40000000, undefined], [21.50000000, undefined], [21.60000000, undefined], [21.70000000, undefined], [21.80000000, undefined], [21.90000000, undefined], [22.00000000, undefined], [22.10000000, undefined], [22.20000000, undefined], [22.30000000, undefined], [22.40000000, undefined], [22.50000000, undefined], [22.60000000, undefined], [22.70000000, undefined], [22.80000000, undefined], [22.90000000, undefined], [23.00000000, undefined], [23.10000000, undefined], [23.20000000, undefined], [23.30000000, undefined], [23.40000000, undefined], [23.50000000, undefined], [23.60000000, undefined], [23.70000000, undefined], [23.80000000, undefined], [23.90000000, undefined], [24.00000000, undefined], [24.10000000, undefined], [24.20000000, undefined], [24.30000000, undefined], [24.40000000, undefined], [24.50000000, undefined], [24.60000000, undefined], [24.70000000, undefined], [24.80000000, undefined], [24.90000000, undefined], [25.00000000, undefined], [25.10000000, undefined], [25.20000000, undefined], [25.30000000, undefined], [25.40000000, undefined], [25.50000000, undefined], [25.60000000, undefined], [25.70000000, undefined], [25.80000000, undefined], [25.90000000, undefined], [26.00000000, undefined], [26.10000000, undefined], [26.20000000, undefined], [26.30000000, undefined], [26.40000000, undefined], [26.50000000, undefined], [26.60000000, undefined], [26.70000000, undefined], [26.80000000, undefined], [26.90000000, undefined], [27.00000000, undefined], [27.10000000, undefined], [27.20000000, undefined], [27.30000000, undefined], [27.40000000, undefined], [27.50000000, undefined], [27.60000000, undefined], [27.70000000, undefined], [27.80000000, undefined], [27.90000000, undefined], [28.00000000, undefined], [28.10000000, undefined], [28.20000000, undefined], [28.30000000, undefined], [28.40000000, undefined], [28.50000000, undefined], [28.60000000, undefined], [28.70000000, undefined], [28.80000000, undefined], [28.90000000, undefined], [29.00000000, undefined], [29.10000000, undefined], [29.20000000, undefined], [29.30000000, undefined], [29.40000000, undefined], [29.50000000, undefined], [29.60000000, undefined], [29.70000000, undefined], [29.80000000, undefined], [29.90000000, undefined], [30.00000000, undefined], [30.10000000, undefined], [30.20000000, undefined], [30.30000000, undefined], [30.40000000, undefined], [30.50000000, undefined], [30.60000000, undefined], [30.70000000, undefined], [30.80000000, undefined], [30.90000000, undefined], [31.00000000, undefined], [31.10000000, undefined], [31.20000000, undefined], [31.30000000, undefined], [31.40000000, undefined], [31.50000000, undefined], [31.60000000, undefined], [31.70000000, undefined], [31.80000000, undefined], [31.90000000, undefined], [32.00000000, undefined], [32.10000000, undefined], [32.20000000, undefined], [32.30000000, undefined], [32.40000000, undefined], [32.50000000, undefined], [32.60000000, undefined], [32.70000000, undefined], [32.80000000, undefined], [32.90000000, undefined], [33.00000000, undefined], [33.10000000, undefined], [33.20000000, undefined], [33.30000000, undefined], [33.40000000, undefined], [33.50000000, undefined], [33.60000000, undefined], [33.70000000, undefined], [33.80000000, undefined], [33.90000000, undefined], [34.00000000, undefined], [34.10000000, undefined], [34.20000000, undefined], [34.30000000, undefined], [34.40000000, undefined], [34.50000000, undefined], [34.60000000, undefined], [34.70000000, undefined], [34.80000000, undefined], [34.90000000, undefined], [35.00000000, undefined], [35.10000000, undefined], [35.20000000, undefined], [35.30000000, undefined], [35.40000000, undefined], [35.50000000, undefined], [35.60000000, undefined], [35.70000000, undefined], [35.80000000, undefined], [35.90000000, undefined], [36.00000000, undefined], [36.10000000, undefined], [36.20000000, undefined], [36.30000000, undefined], [36.40000000, undefined], [36.50000000, undefined], [36.60000000, undefined], [36.70000000, undefined], [36.80000000, undefined], [36.90000000, undefined], [37.00000000, undefined], [37.10000000, undefined], [37.20000000, undefined], [37.30000000, undefined], [37.40000000, undefined], [37.50000000, undefined], [37.60000000, undefined], [37.70000000, undefined], [37.80000000, undefined], [37.90000000, undefined], [38.00000000, undefined], [38.10000000, undefined], [38.20000000, undefined], [38.30000000, undefined], [38.40000000, undefined], [38.50000000, undefined], [38.60000000, undefined], [38.70000000, undefined], [38.80000000, undefined], [38.90000000, undefined], [39.00000000, undefined], [39.10000000, undefined], [39.20000000, undefined], [39.30000000, undefined], [39.40000000, undefined], [39.50000000, undefined], [39.60000000, undefined], [39.70000000, undefined], [39.80000000, undefined], [39.90000000, undefined], [40.00000000, undefined], [40.10000000, undefined], [40.20000000, undefined], [40.30000000, undefined], [40.40000000, undefined], [40.50000000, undefined], [40.60000000, undefined], [40.70000000, undefined], [40.80000000, undefined], [40.90000000, undefined], [41.00000000, undefined], [41.10000000, undefined], [41.20000000, undefined], [41.30000000, undefined], [41.40000000, undefined], [41.50000000, undefined], [41.60000000, undefined], [41.70000000, undefined], [41.80000000, undefined], [41.90000000, undefined], [42.00000000, undefined], [42.10000000, undefined], [42.20000000, undefined], [42.30000000, undefined], [42.40000000, undefined], [42.50000000, undefined], [42.60000000, undefined], [42.70000000, undefined], [42.80000000, undefined], [42.90000000, undefined], [43.00000000, undefined], [43.10000000, undefined], [43.20000000, undefined], [43.30000000, undefined], [43.40000000, undefined], [43.50000000, undefined], [43.60000000, undefined], [43.70000000, undefined], [43.80000000, undefined], [43.90000000, undefined], [44.00000000, undefined], [44.10000000, undefined], [44.20000000, undefined], [44.30000000, undefined], [44.40000000, undefined], [44.50000000, undefined], [44.60000000, undefined], [44.70000000, undefined], [44.80000000, undefined], [44.90000000, undefined], [45.00000000, undefined], [45.10000000, undefined], [45.20000000, undefined], [45.30000000, undefined], [45.40000000, undefined], [45.50000000, undefined], [45.60000000, undefined], [45.70000000, undefined], [45.80000000, undefined], [45.90000000, undefined], [46.00000000, undefined], [46.10000000, undefined], [46.20000000, undefined], [46.30000000, undefined], [46.40000000, undefined], [46.50000000, undefined], [46.60000000, undefined], [46.70000000, undefined], [46.80000000, undefined], [46.90000000, undefined], [47.00000000, undefined], [47.10000000, undefined], [47.20000000, undefined], [47.30000000, undefined], [47.40000000, undefined], [47.50000000, undefined], [47.60000000, undefined], [47.70000000, undefined], [47.80000000, undefined], [47.90000000, undefined], [48.00000000, undefined], [48.10000000, undefined], [48.20000000, undefined], [48.30000000, undefined], [48.40000000, undefined], [48.50000000, undefined], [48.60000000, undefined], [48.70000000, undefined], [48.80000000, undefined], [48.90000000, undefined], [49.00000000, undefined], [49.10000000, undefined], [49.20000000, undefined], [49.30000000, undefined], [49.40000000, undefined], [49.50000000, undefined], [49.60000000, undefined], [49.70000000, undefined], [49.80000000, undefined], [49.90000000, undefined], [50.00000000, undefined], [50.10000000, undefined], [50.20000000, undefined], [50.30000000, undefined], [50.40000000, undefined], [50.50000000, undefined], [50.60000000, undefined], [50.70000000, undefined], [50.80000000, undefined], [50.90000000, undefined], [51.00000000, undefined], [51.10000000, undefined], [51.20000000, undefined], [51.30000000, undefined], [51.40000000, undefined], [51.50000000, undefined], [51.60000000, undefined], [51.70000000, undefined], [51.80000000, undefined], [51.90000000, undefined], [52.00000000, undefined], [52.10000000, undefined], [52.20000000, undefined], [52.30000000, undefined], [52.40000000, undefined], [52.50000000, undefined], [52.60000000, undefined], [52.70000000, undefined], [52.80000000, undefined], [52.90000000, undefined], [53.00000000, undefined], [53.10000000, undefined], [53.20000000, undefined], [53.30000000, undefined], [53.40000000, undefined], [53.50000000, undefined], [53.60000000, undefined], [53.70000000, undefined], [53.80000000, undefined], [53.90000000, undefined], [54.00000000, undefined], [54.10000000, undefined], [54.20000000, undefined], [54.30000000, undefined], [54.40000000, undefined], [54.50000000, undefined], [54.60000000, undefined], [54.70000000, undefined], [54.80000000, undefined], [54.90000000, undefined], [55.00000000, undefined], [55.10000000, undefined], [55.20000000, undefined], [55.30000000, undefined], [55.40000000, undefined], [55.50000000, undefined], [55.60000000, undefined], [55.70000000, undefined], [55.80000000, undefined], [55.90000000, undefined], [56.00000000, undefined], [56.10000000, undefined], [56.20000000, undefined], [56.30000000, undefined], [56.40000000, undefined], [56.50000000, undefined], [56.60000000, undefined], [56.70000000, undefined], [56.80000000, undefined], [56.90000000, undefined], [57.00000000, undefined], [57.10000000, undefined], [57.20000000, undefined], [57.30000000, undefined], [57.40000000, undefined], [57.50000000, undefined], [57.60000000, undefined], [57.70000000, undefined], [57.80000000, undefined], [57.90000000, undefined], [58.00000000, undefined], [58.10000000, undefined], [58.20000000, undefined], [58.30000000, undefined], [58.40000000, undefined], [58.50000000, undefined], [58.60000000, undefined], [58.70000000, undefined], [58.80000000, undefined], [58.90000000, undefined], [59.00000000, undefined], [59.10000000, undefined], [59.20000000, undefined], [59.30000000, undefined], [59.40000000, undefined], [59.50000000, undefined], [59.60000000, undefined], [59.70000000, undefined], [59.80000000, undefined], [59.90000000, undefined], [60.00000000, undefined], [60.10000000, undefined], [60.20000000, undefined], [60.30000000, undefined], [60.40000000, undefined], [60.50000000, undefined], [60.60000000, undefined], [60.70000000, undefined], [60.80000000, undefined], [60.90000000, undefined], [61.00000000, undefined], [61.10000000, undefined], [61.20000000, undefined], [61.30000000, undefined], [61.40000000, undefined], [61.50000000, undefined], [61.60000000, undefined], [61.70000000, undefined], [61.80000000, undefined], [61.90000000, undefined], [62.00000000, undefined], [62.10000000, undefined], [62.20000000, undefined], [62.30000000, undefined], [62.40000000, undefined], [62.50000000, undefined], [62.60000000, undefined], [62.70000000, undefined], [62.80000000, undefined], [62.90000000, undefined], [63.00000000, undefined], [63.10000000, undefined], [63.20000000, undefined], [63.30000000, undefined], [63.40000000, undefined], [63.50000000, undefined], [63.60000000, undefined], [63.70000000, undefined], [63.80000000, undefined], [63.90000000, undefined], [64.00000000, undefined], [64.10000000, undefined], [64.20000000, undefined], [64.30000000, undefined], [64.40000000, undefined], [64.50000000, undefined], [64.60000000, undefined], [64.70000000, undefined], [64.80000000, undefined], [64.90000000, undefined], [65.00000000, undefined], [65.10000000, undefined], [65.20000000, undefined], [65.30000000, undefined], [65.40000000, undefined], [65.50000000, undefined], [65.60000000, undefined], [65.70000000, undefined], [65.80000000, undefined], [65.90000000, undefined], [66.00000000, undefined], [66.10000000, undefined], [66.20000000, undefined], [66.30000000, undefined], [66.40000000, undefined], [66.50000000, undefined], [66.60000000, undefined], [66.70000000, undefined], [66.80000000, undefined], [66.90000000, undefined], [67.00000000, undefined], [67.10000000, undefined], [67.20000000, undefined], [67.30000000, undefined], [67.40000000, undefined], [67.50000000, undefined], [67.60000000, undefined], [67.70000000, undefined], [67.80000000, undefined], [67.90000000, undefined], [68.00000000, undefined], [68.10000000, undefined], [68.20000000, undefined], [68.30000000, undefined], [68.40000000, undefined], [68.50000000, undefined], [68.60000000, undefined], [68.70000000, undefined], [68.80000000, undefined], [68.90000000, undefined], [69.00000000, undefined], [69.10000000, undefined], [69.20000000, undefined], [69.30000000, undefined], [69.40000000, undefined], [69.50000000, undefined], [69.60000000, undefined], [69.70000000, undefined], [69.80000000, undefined], [69.90000000, undefined], [70.00000000, undefined], [70.10000000, undefined], [70.20000000, undefined], [70.30000000, undefined], [70.40000000, undefined], [70.50000000, undefined], [70.60000000, undefined], [70.70000000, undefined], [70.80000000, undefined], [70.90000000, undefined], [71.00000000, undefined], [71.10000000, undefined], [71.20000000, undefined], [71.30000000, undefined], [71.40000000, undefined], [71.50000000, undefined], [71.60000000, undefined], [71.70000000, undefined], [71.80000000, undefined], [71.90000000, undefined], [72.00000000, undefined], [72.10000000, undefined], [72.20000000, undefined], [72.30000000, undefined], [72.40000000, undefined], [72.50000000, undefined], [72.60000000, undefined], [72.70000000, undefined], [72.80000000, undefined], [72.90000000, undefined], [73.00000000, undefined], [73.10000000, undefined], [73.20000000, undefined], [73.30000000, undefined], [73.40000000, undefined], [73.50000000, undefined], [73.60000000, undefined], [73.70000000, undefined], [73.80000000, undefined], [73.90000000, undefined], [74.00000000, undefined], [74.10000000, undefined], [74.20000000, undefined], [74.30000000, undefined], [74.40000000, undefined], [74.50000000, undefined], [74.60000000, undefined], [74.70000000, undefined], [74.80000000, undefined], [74.90000000, undefined], [75.00000000, undefined], [75.10000000, undefined], [75.20000000, undefined], [75.30000000, undefined], [75.40000000, undefined], [75.50000000, undefined], [75.60000000, undefined], [75.70000000, undefined], [75.80000000, undefined], [75.90000000, undefined], [76.00000000, undefined], [76.10000000, undefined], [76.20000000, undefined], [76.30000000, undefined], [76.40000000, undefined], [76.50000000, undefined], [76.60000000, undefined], [76.70000000, undefined], [76.80000000, undefined], [76.90000000, undefined], [77.00000000, undefined], [77.10000000, undefined], [77.20000000, undefined], [77.30000000, undefined], [77.40000000, undefined], [77.50000000, undefined], [77.60000000, undefined], [77.70000000, undefined], [77.80000000, undefined], [77.90000000, undefined], [78.00000000, undefined], [78.10000000, undefined], [78.20000000, undefined], [78.30000000, undefined], [78.40000000, undefined], [78.50000000, undefined], [78.60000000, undefined], [78.70000000, undefined], [78.80000000, undefined], [78.90000000, undefined], [79.00000000, undefined], [79.10000000, undefined], [79.20000000, undefined], [79.30000000, undefined], [79.40000000, undefined], [79.50000000, undefined], [79.60000000, undefined], [79.70000000, undefined], [79.80000000, undefined], [79.90000000, undefined], [80.00000000, undefined], [80.10000000, undefined], [80.20000000, undefined], [80.30000000, undefined], [80.40000000, undefined], [80.50000000, undefined], [80.60000000, undefined], [80.70000000, undefined], [80.80000000, undefined], [80.90000000, undefined], [81.00000000, undefined], [81.10000000, undefined], [81.20000000, undefined], [81.30000000, undefined], [81.40000000, undefined], [81.50000000, undefined], [81.60000000, undefined], [81.70000000, undefined], [81.80000000, undefined], [81.90000000, undefined], [82.00000000, undefined], [82.10000000, undefined], [82.20000000, undefined], [82.30000000, undefined], [82.40000000, undefined], [82.50000000, undefined], [82.60000000, undefined], [82.70000000, undefined], [82.80000000, undefined], [82.90000000, undefined], [83.00000000, undefined], [83.10000000, undefined], [83.20000000, undefined], [83.30000000, undefined], [83.40000000, undefined], [83.50000000, undefined], [83.60000000, undefined], [83.70000000, undefined], [83.80000000, undefined], [83.90000000, undefined], [84.00000000, undefined], [84.10000000, undefined], [84.20000000, undefined], [84.30000000, undefined], [84.40000000, undefined], [84.50000000, undefined], [84.60000000, undefined], [84.70000000, undefined], [84.80000000, undefined], [84.90000000, undefined], [85.00000000, undefined], [85.10000000, undefined], [85.20000000, undefined], [85.30000000, undefined], [85.40000000, undefined], [85.50000000, undefined], [85.60000000, undefined], [85.70000000, undefined], [85.80000000, undefined], [85.90000000, undefined], [86.00000000, undefined], [86.10000000, undefined], [86.20000000, undefined], [86.30000000, undefined], [86.40000000, undefined], [86.50000000, undefined], [86.60000000, undefined], [86.70000000, undefined], [86.80000000, undefined], [86.90000000, undefined], [87.00000000, undefined], [87.10000000, undefined], [87.20000000, undefined], [87.30000000, undefined], [87.40000000, undefined], [87.50000000, undefined], [87.60000000, undefined], [87.70000000, undefined], [87.80000000, undefined], [87.90000000, undefined], [88.00000000, undefined], [88.10000000, undefined], [88.20000000, undefined], [88.30000000, undefined], [88.40000000, undefined], [88.50000000, undefined], [88.60000000, undefined], [88.70000000, undefined], [88.80000000, undefined], [88.90000000, undefined], [89.00000000, undefined], [89.10000000, undefined], [89.20000000, undefined], [89.30000000, undefined], [89.40000000, undefined], [89.50000000, undefined], [89.60000000, undefined], [89.70000000, undefined], [89.80000000, undefined], [89.90000000, undefined], [90.00000000, undefined], [90.10000000, undefined], [90.20000000, undefined], [90.30000000, undefined], [90.40000000, undefined], [90.50000000, undefined], [90.60000000, undefined], [90.70000000, undefined], [90.80000000, undefined], [90.90000000, undefined], [91.00000000, undefined], [91.10000000, undefined], [91.20000000, undefined], [91.30000000, undefined], [91.40000000, undefined], [91.50000000, undefined], [91.60000000, undefined], [91.70000000, undefined], [91.80000000, undefined], [91.90000000, undefined], [92.00000000, undefined], [92.10000000, undefined], [92.20000000, undefined], [92.30000000, undefined], [92.40000000, undefined], [92.50000000, undefined], [92.60000000, undefined], [92.70000000, undefined], [92.80000000, undefined], [92.90000000, undefined], [93.00000000, undefined], [93.10000000, undefined], [93.20000000, undefined], [93.30000000, undefined], [93.40000000, undefined], [93.50000000, undefined], [93.60000000, undefined], [93.70000000, undefined], [93.80000000, undefined], [93.90000000, undefined], [94.00000000, undefined], [94.10000000, undefined], [94.20000000, undefined], [94.30000000, undefined], [94.40000000, undefined], [94.50000000, undefined], [94.60000000, undefined], [94.70000000, undefined], [94.80000000, undefined], [94.90000000, undefined], [95.00000000, undefined], [95.10000000, undefined], [95.20000000, undefined], [95.30000000, undefined], [95.40000000, undefined], [95.50000000, undefined], [95.60000000, undefined], [95.70000000, undefined], [95.80000000, undefined], [95.90000000, undefined], [96.00000000, undefined], [96.10000000, undefined], [96.20000000, undefined], [96.30000000, undefined], [96.40000000, undefined], [96.50000000, undefined], [96.60000000, undefined], [96.70000000, undefined], [96.80000000, undefined], [96.90000000, undefined], [97.00000000, undefined], [97.10000000, undefined], [97.20000000, undefined], [97.30000000, undefined], [97.40000000, undefined], [97.50000000, undefined], [97.60000000, undefined], [97.70000000, undefined], [97.80000000, undefined], [97.90000000, undefined], [98.00000000, undefined], [98.10000000, undefined], [98.20000000, undefined], [98.30000000, undefined], [98.40000000, undefined], [98.50000000, undefined], [98.60000000, undefined], [98.70000000, undefined], [98.80000000, undefined], [98.90000000, undefined], [99.00000000, undefined], [99.10000000, undefined], [99.20000000, undefined], [99.30000000, undefined], [99.40000000, undefined], [99.50000000, undefined], [99.60000000, undefined], [99.70000000, undefined], [99.80000000, undefined], [99.90000000, undefined], [100.0000000, undefined]], COLOUR(RGB, 1.00000000, 0., 0.), STYLE(LINE), THICKNESS(2)), AXESLABELS(t, a(t)), VIEW(0. .. 100., 167000000. .. 170000000.))

 

Warning, plot may be incomplete, the following errors(s) were issued:
   cannot evaluate the solution further right of .33370860e-5, probably a singularity
Warning, plot may be incomplete, the following errors(s) were issued:
   cannot evaluate the solution further right of .33370860e-5, probably a singularity

Warning, plot may be incomplete, the following errors(s) were issued:
   cannot evaluate the solution further right of .33370860e-5, probably a singularity

 

SIRsys; a(0);g(0);v(0); m(0);

dsolve([SIRsys[], a(0) = 0.17e9, g(0) = 0, v(0) = 4, m(0) = 2]);

[diff(a(t), t) = 10-0.34e-1*a(t)*g(t)-0.25e-1*a(t)*v(t)/(v(t)+.12)-0.4e-3*a(t)+.7902*m(t), diff(g(t), t) = 0.34e-1*a(t)*g(t)-0.25e-1*a(t)*v(t)/(v(t)+.12)-.110536*g(t), diff(v(t), t) = 0.5e-1*g(t)-.834*v(t), diff(m(t), t) = .11*g(t)-.7906*m(t)]

 

a(0)

 

g(0)

 

v(0)

 

m(0)

(2)

p1:=pointplot(L, color=blue, symbol=diamond):
display([p1,aplot]);

Error, (in plots:-display) cannot make plot structure from object with name DE1plot

 

J := `<|>`(`<,>`(seq(i, i = 0 .. 100)), `<,>`(seq(C[i], i = 0 .. 100))); p2 := pointplot(J, color = blue, symbol = soliddiamond); display([p2, gplot])

Matrix(%id = 18446744074240523190)

 

Error, (in plots:-display) cannot make plot structure from object with name DE2plot

 

NULL


 

Download corrections2.mw

@tomleslie thanks very much for being patient with me( a maple beginner). i am sending a code that ran successfully please compare with mine for futher assistance
 

 

restart:

H[0]:= 1.7e8:  J[0]:=0:  V[0]:=400:
#Digits:=10:
unprotect('gamma');
lambda:=5e5:
mu:=0.003:
beta:=4e-10:
delta:=0:
alpha:=0.043:
sigma:=alpha+delta:
k:=6.24:
gamma:=0.65:
A1:=1:
A2:=1:

h:=1:

#Step 1
n:=100:
 lambda__1[n]:= 0:   lambda__2[n]:= 0:   lambda__3[n]:= 0:
u__1[0]:= 0:  u__2[0]:= 0:

for i from 0 to n-1 do
     H[i+1]:=(H[i]+delta*J[i]*h+lambda*h)/(1+mu*h+beta*V[i]*h*(1-u__1[i]));
     J[i+1]:= (J[i]+beta*H[i+1]*V[i]*h*(1-u__1[i]))/(sigma*h+1);
     V[i+1]:=(V[i]+k*J[i+1]*h*(1-u__2[i]))/(1+gamma*h);
lambda__1[n-i-1]:= -(-lambda__1[n-i]-lambda__2[n-i]*beta*V[i+1]*h+lambda__2[n-i]*beta*V[i+1]*h*u__1[i]-h)/(mu*h+beta*V[i+1]*h-beta*V[i+1]*h*u__1[i]+1);
     lambda__2[n-i-1]:= -(-lambda__2[n-i]-lambda__1[n-i-1]*delta*h-lambda__3[n-i]*k*h+lambda__3[n-i]*k*h*u__2[i])/(1+sigma*h);
     lambda__3[n-i-1]:= (lambda__3[n-i]-lambda__1[n-i-1]*beta*H[i+1]*h+lambda__1[n-i-1]*beta*H[i+1]*h*u__1[i]+lambda__2[n-i-1]*beta*H[i+1]*h-lambda__2[n-i-1]*beta*H[i+1]*h*u__1[i])/(1+gamma*h);
     R1:= (1/A1)*(lambda__1[n-i-1]-lambda__2[n-i-1])*beta*V[i+1]*H[i+1];
     R2:= -(1/A2)*lambda__3[n-i-1]*k*J[i+1];
     u__1[i+1]:= min(1, max(R1,0));
     u__2[i+1]:= min(1, max(R2,0));
    end do:

seq(i,i=0..30):
seq(H[i],i=0..30):

with(plots):

with(DEtools):

DE1 := diff(s(t),t)=lambda-mu*s(t)-beta*s(t)*r(t)+delta*g(t);
DE2 := diff(g(t),t)=beta*s(t)*r(t)-sigma*g(t);
DE3 := diff(r(t),t)=k*g(t)-gamma*r(t);

SIRsys:= [DE1, DE2, DE3];

splot:=DEplot(SIRsys, [s(t),g(t),r(t)], t = 0..100,s=1.67e8..1.7e8,[[s(0)=1.7e8,g(0)=0,r(0)=400]], scene=[t,s(t)], thickness=2, linecolor=red, stepsize=0.1):
gplot:=DEplot(SIRsys, [s(t),g(t),r(t)], t = 0..100,g=0..400, [[s(0)=1.7e8,g(0)=0,r(0)=400]], scene=[t,g(t)], thickness=2, linecolor=red, stepsize=0.1):

rplot:=DEplot(SIRsys, [s(t),g(t),r(t)], t = 0..100,r=0..1e3,[[s(0)=1.7e8,g(0)=0,r(0)=400]], scene=[t,r(t)], thickness=2, linecolor=red, stepsize=0.1):

A:=<<seq(i,i=0..100)>|<seq(H[i],i=0..100)>>;
#points:= {seq(H[i],i=0..100)};

diff(s(t), t) = 0.5e6-0.3e-2*s(t)-0.4e-9*s(t)*r(t)

diff(g(t), t) = 0.4e-9*s(t)*r(t)-0.43e-1*g(t)

diff(r(t), t) = 6.24*g(t)-.65*r(t)

[diff(s(t), t) = 0.5e6-0.3e-2*s(t)-0.4e-9*s(t)*r(t), diff(g(t), t) = 0.4e-9*s(t)*r(t)-0.43e-1*g(t), diff(r(t), t) = 6.24*g(t)-.65*r(t)]

Matrix(%id = 18446744074227558990)

(1)

p1:=pointplot(A, color=blue, symbol=diamond):
display([p1,splot]);

 

B:=<<seq(i,i=0..100)>|<seq(J[i],i=0..100)>>;
#points:= {seq(J[i],i=0..100)};
p2:=pointplot(B, color=blue, symbol=soliddiamond):
display([p2,gplot]);

Matrix(%id = 18446744074227559950)

 

C:=<<seq(i,i=0..100)>|<seq(V[i],i=0..100)>>;
#points:= {seq(V[i],i=0..100)};
p3:=pointplot(C, color=blue, symbol=diamond):
display([p3,rplot]);

Matrix(%id = 18446744074227552614)

 

DD:=<<seq(i,i=0..100)>|<seq(u__1[i],i=0..100)>>;
#points:= {seq(u__1[i],i=0..100)};
pointplot(DD, color=black, symbol=diamond);

Matrix(%id = 18446744074227553454)

 

E:=<<seq(i,i=0..100)>|<seq(u__2[i],i=0..100)>>;
#points:= {seq(u__2[i],i=0..100)};
pointplot(E, color=blue, symbol=diamond);

Matrix(%id = 18446744074227554054)

 

 

 

 

 

 

 

 

 

 

 

`?`

(2)

%?


 

Download The_improved_GSS1_method1.mws

#Great job done by @tomleslie4564, thank you.
 

restart:

B[0]:= 1.7e8:  C[0]:=0:  P[0]:=400: E[0]:=20
#Digits:=10:
unprotect('gamma'):


 A__h := 10:
 beta__1 := 0.34e-1:
 psi__o := 0.25e-1:
mu := 0.4e-3:
theta := .7902:
 alpha := .11:
 k := 0.136e-3:
 z := 0.5e-1:
delta := .7:
eta := .134:
 xi := .12:
beta := 0.1e-1:
Q1 := 1:
Q2 := 1:
h := .1:

 

Error, missing operator or `;`

 

#Step 1
n:=100:
lambda__1[n] := 0: lambda__2[n] := 0: lambda__3[n] := 0: lambda__4[n] := 0: u__o[0] := 0:

for i from 0 to n-1 do

     B[i+1] := h*(theta*E[i]+A__h+B[i])/(1+ psi__o*h*P[i])/(P[i]+xi)+mu+u__[o][i]+beta*C[i];
     C[i+1] := h*B[i+1](beta*C[i]-psi[o]*P[i])/(P[i]+xi)-(alpha+mu+k)*C[i+1];
     P[i+1] := h*z*C[i+1]/(1+delta+eta);
     E[i+1] := h*(alpha*C[i+1]+B[i+1]*u__[o][i]+E[i])/(1+theta+mu);


     lambda__1[n-i-1] := -h*(Q1+(beta*C[i]+(psi__o*P[i]/(P[i]+xi)))*lambda__2[n-i]-lambda__1[n-i]-mu+u__o[i]/(1+beta*C        [i]+P[i]/(P[i]+xi));

     lambda__2[n-i-1] := -h*(-beta*B[i+1]*lambda__1[n-i-1]+Q2-alpha-mu-kappa+z*lambda__3[n-i]+alpha*lambda__4[n-i]-           lambda__2[n-i])/(-beta*B[i+1]+1);

     lambda__3[n-i-1] := h*((psi__o*B[i+1]*P[i+1]/(P[i+1]+xi)^2+theta)*lambda__1[n-i-1]-lambda__2[n-i-1]*psi__o*B[i+1]*P      [i+1]/(P[i+1]+xi)^2-lambda__3[n-i])/(1+delta+eta);

     lambda__4[n-i-1] := h*lambda__4[n-i]/(1-theta-mu);

     R1:= (lambda__1[n-i-1]-lambda__4[n-i-1])*B[i+1]/tau;
    
      u__o[i+1] := min(1, max(R1, 0));
    
    end do:

Error, `;` unexpected

 

seq(i,i=0..30):
seq(B[i],i=0..30):

with(plots):

with(DEtools):

DE1 := diff(a(t),t) = A__h-beta__1*a(t)*g(t)-psi__o*a(t)*h(t)/(h(t)+xi)-mu*a(t)+theta*m(t);
DE2 := diff(g(t),t) = beta__1*a(t)*g(t)-psi__o*a(t)*h(t)/(h(t)+xi)-(alpha+mu+k)*g(t);
DE3 := diff(h(t),t) = z*g(t)-(delta+eta)*h(t);
DE4 := diff(m(t),t) = alpha*g(t)-(theta+mu)*m(t);

SIRsys := [DE1, DE2, DE3, DE4];

aplot := DE1plot(SIRsys, [a(t), g(t), h(t), m(t)], t = 0 .. 100, a = 0.167e9 .. 0.17e9, [[a(0) = 0.17e9, g(0) = 0, h(0) = 400, m(0) = 20]], scene = [t, a(t)], thickness = 2, linecolor = red, stepsize = .1):

gplot := DE2plot(SIRsys, [a(t), g(t), h(t), m(t)], t = 0 .. 100, g = 0 .. 400, [[a(0) = 0.17e9, g(0) = 0, h(0) = 400, m(0) = 20]], scene = [t, g(t)], thickness = 2, linecolor = red, stepsize = .1):

hplot := DE3plot(SIRsys, [a(t), g(t), h(t), m(t)], t = 0 .. 100, h = 0 .. 0.1e4, [[a(0) = 0.17e9, g(0) = 0, h(0) = 400, m(0) = 20]], scene = [t, h(t)], thickness = 2, linecolor = red, stepsize = .1):

mplot := DE4plot(SIRsys, [a(t), g(t), h(t), m(t)], t = 0 .. 100, m = 0 .. 0.1e4, [[a(0) = 0.17e9, g(0) = 0, h(0) = 400, m(0) = 20]], scene = [t, m(t)], thickness = 2, linecolor = red, stepsize = .1):



L:=<<seq(i,i=0..100)>|<seq(B[i],i=0..100)>>:
#points:= {seq(B[i],i=0..100)};
 

diff(a(t), t) = A__h-beta__1*a(t)*g(t)-psi__o*a(t)*h(t)/(h(t)+xi)-mu*a(t)+theta*m(t)

 

diff(g(t), t) = beta__1*a(t)*g(t)-psi__o*a(t)*h(t)/(h(t)+xi)-(alpha+mu+k)*g(t)

 

diff(h(t), t) = z*g(t)-(delta+eta)*h(t)

 

diff(m(t), t) = alpha*g(t)-(theta+mu)*m(t)

 

[diff(a(t), t) = A__h-beta__1*a(t)*g(t)-psi__o*a(t)*h(t)/(h(t)+xi)-mu*a(t)+theta*m(t), diff(g(t), t) = beta__1*a(t)*g(t)-psi__o*a(t)*h(t)/(h(t)+xi)-(alpha+mu+k)*g(t), diff(h(t), t) = z*g(t)-(delta+eta)*h(t), diff(m(t), t) = alpha*g(t)-(theta+mu)*m(t)]

(1)

p1:=pointplot(L, color=blue, symbol=diamond):
display([p1,aplot]);

Error, (in plots:-pointplot) points cannot be converted to floating-point values

 

Error, (in plots:-display) expecting plot structures but received: [p1]

 

J := `<|>`(`<,>`(seq(i, i = 0 .. 100)), `<,>`(seq(C[i], i = 0 .. 100))); p2 := pointplot(J, color = blue, symbol = soliddiamond); display([p2, gplot])

J := Vector(4, {(1) = ` 101 x 2 `*Matrix, (2) = `Data Type: `*anything, (3) = `Storage: `*rectangular, (4) = `Order: `*Fortran_order})

 

Error, (in plots:-pointplot) points cannot be converted to floating-point values

 

Error, (in plots:-display) expecting plot structures but received: [p2]

 

``


 

Download Iterative_scheme.mw

#Corrections have been made but i still have problems in running and plotting the code.
#The corrections are posted below

@tomleslie thanks very much

 

@mmcdara thanks very much

@Carl Love 
 

Local*Gamma:

v[1](x, t) = v[1]*(-x*v[1]-x*`&theta;v`[2]-v[1]-v[2]+1)

 

v[2](x, t) = gamma*v[2]*(lambda-v[1]-v[2]-eta*(x*v[1]+x*`&theta;v`[2]))

(1)

NULL

I want to numerically solve the coupled first order pdes using DTM
 

Download DTM_TO_SOlve.mw

@tomleslie thanks, you're appreciated

@Kitonum thanks very much for your help

 

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