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Muhammad Ahmad

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How draw graph and Apply Finite Differen...

Muhammad Ahmad 35 Maple 2015
homework pde pdsolve
June 17 2022
1 1
> 

restart; with(plots)
> 

NULL
> 

Ha := 2:
> 

PDE := {diff(C(x, t), t)+lambda[3]*(diff(C(x, t), t, t))-(diff(C(x, t), x, x))/Sc-Sr*(diff(theta(x, t), x, x))-Sr*lambda[3]*(diff(C(x, t), t, x, x)) = 0, diff(theta(x, t), t)+lambda[2]*(diff(theta(x, t), t, t))-(diff(theta(x, t), x, x))/Pr-Du*(diff(C(x, t), x, x))-Du*(diff(C(x, t), t, x, x))*lambda[2] = 0, diff(u(x, t), t)+lambda[1]*(diff(u(x, t), t, t))-(diff(u(x, t), x, x))+Ha^2*u(x, t)+lambda[1]*Ha^2*(diff(u(x, t), t))-Gr*theta(x, t)-lambda[1]*Gr*(diff(theta(x, t), t)) = 0}:
> 

IBC := {C(0, t) = 1+d(1-cos(varpi*t)), C(1, t) = 1, C(x, 0) = 0, theta(0, t) = 1+b(1-cos(varpi*t)), theta(1, t) = 1, theta(x, 0) = 0, u(0, t) = 1-cos(varpi*t), u(1, t) = 1, u(x, 0) = 0, (D[2](C))(x, 0) = 0, (D[2](theta))(x, 0) = 0, (D[2](u))(x, 0) = 0}:
> 

pds := pdsolve(PDE, IBC, numeric)

_m218563168

 (1)
> 

SS := line:
> 

p11 := pds:-plot(theta, t = .1, numpoints = NP, color = brown, thickness = TN)

p21 := pds:-plot(theta, t = .3, numpoints = NP, color = gray, thickness = TN)
plots[display]({p11, p21}, style = SS, labels = ["y", "θ(t,y)"], axes = boxed)

Error, (in pdsolve/numeric/plot) unable to compute solution for t>INFO["failtime"]:
unable to store 1+d(.00124973960503372) when datatype=float[8]

  

Error, (in pdsolve/numeric/plot) unable to compute solution for t>INFO["failtime"]:
unable to store 1+d(.00124973960503372) when datatype=float[8]

  

Error, (in plots:-display) expecting plot structures but received: {p11, p21}

  

``

Download maple_prime_file.mw

Solve an Integral...

Muhammad Ahmad 35 Maple
integration syntax exp
May 14 2022
2 0

how we can solve it
restart; int(log(sqrt(2*t))*e^(-t), t = 0 .. infinity);

Merge Plots In Maple...

Muhammad Ahmad 35 Maple
April 20 2022
1 0

how we can merge multiple plots in single graph in maple ???

 

module()...end module...

Muhammad Ahmad 35 Maple
April 15 2022
1 0

Ha := 5; Gr := 2; Pr := 8; b := 4; lambda := 3;
PDE := {diff(theta(x, t), t)-(diff(theta(x, t), x, x))/Pr = 0, diff(u(x, t), t)-(diff(u(x, t), x, x))+Ha*u(x, t)-Gr*theta(x, t) = 0};
IBC := {theta(0, t) = 1+b(1-cos(lambda*t)), theta(1, t) = 1, theta(x, 0) = 0, u(0, t) = 1-cos(t), u(1, t) = 1, u(x, 0) = 0};
      {theta(0, t) = 5, theta(1, t) = 1, theta(x, 0) = 0, 

        u(0, t) = 1 - cos(t), u(1, t) = 1, u(x, 0) = 0}
pds := pdsolve(PDE, IBC, numeric);
                          module()...end module

how we can expand module()...end module and see solutions of the problem.
 

How do i solve a System of PDEs in maple...

Muhammad Ahmad 35 Maple
assign
March 02 2022
1 1

sol := {c[1, 1] = 18.00000000, c[1, 2] = -0., u[1, 1] = -.9000000000, u[1, 2] = 0., x[1, 1] = 3.600000000, x[1, 2] = -0.}
How we can assign each in solution1 individually as a Variable.

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