Plot the wedge cut from the cylinder x²+y²=1 by the planes z=-y and z=0.

Hey everyone,

f_1 and f_2  are satisfying the set of non-linear integral equations I have attached to this message.
I know that I need to solve them numerically by iterations. Probably, the first guest of the function f_1 and f_2  is the driving term. a is just a parameter which can be fixed (I guess smaller than \pi/4). * is the convolution product and k is the momentum space parameter. I learnt that in order to solve them I should solve them in the Fourier space. I know also that I need to discretize these function in the “real ” space between {-L,+L} before applying the FFT or one of its relatives. Thank you for any suggestions or leads.

Hi,

I noticed that, in Maple 2020.2, the caracters seem smaller. As if the zoom had somewhat been reduced (a bit).

However, in the preferences, the default zoom level I would like is between 100 and 125% (something like 110%) (since the default zoom level is adjusted by steps of +/- 25%). I wondered if there was a way to set the default zoom level to an arbitrary value. In fact I thought it would be great to have a field instead of a list of choices, so we can choose a custom value.

Thank you

Here is my try to integrate the expression L with trapozoid or simpson 

numerical_int.mw

Dear all

I have  Lie commutations for vectors e1, e2, e3, e4, e5, e6 as follow:

[e1, e3] = e3, [e1, e4] = e4, [e1, e5] = e5, [e1, e6] = e6, [e2, e3] = -e5, [e2, e4] = e6, [e3, e5] = e6

for which the command 

Query("Jacobi")

returns the false result, which means, the vectors are not closed under Jacobi's identity. How can I find vector triplets for which Jacobi's identity does not hold?

Please find Maple file.Jacobi_identity.mw

Dear all, 

I have a time-fractional PDE as follows.  ( denotes Caputo fractional derivative with respect to t) 

for alpha=1, this is a classical PDE and the exact solution is given as follows (in a book)

Question: 

1) for alpha=1, I want to find the L2 errors and L∞ errors in a table. 

2) for alpha=0.5, Can Maple find a solution (numeric or exact)?

MY TRY: (MAPLE 2020.2)

download the code.mw

restart:
with(plots):
PDE:=diff(y(x,t),t)=y(x,t)*diff(y(x,t),x$3)+y(x,t)*diff(y(x,t),x)+3*diff(y(x,t),x)*diff(y(x,t),x$2) ;


#c is an arbitratry constant
c:=4:
exact_sol:=(x,t)->-8*c/3*(cos ((x-c*t)/4))^2;

# I selected initial and boundary conditions as follows
IBC := { y(x,0)=exact_sol(x,0),y(0,t)=exact_sol(0,t),D[1](y)(0,t)=D[1](exact_sol)(0,t),y(1,t)=exact_sol(1,t)};
 	
numeric_sol := pdsolve(PDE,IBC,numeric);

num3d:=numeric_sol:-plot3d(t=0..1,x=0..1,axes=boxed,
            color=[0,0,y]);
exact3d:=plot3d(exact_sol(x,t),t=0..1,x=0..1,axes=boxed);
display(exact3d,num3d);

pdetest(y(x,t)=exact_sol(x,t),PDE,IBC);

Hi

I have a system of pde that it is solved with pdsolve procedure.

This procedure takes a few time, but when I need to do plots, especially 3d plot the software takes a lot of time (several hours).

How can I make plots faster?
Thanks.

I am facing difficulty to realize this double iterative process. 

The equations in question are 

The flow chart for the iterative process is given as

The different parameters are defined as

alphan:=1.72*10^(-4):
alphap:=2.037*10^(-4):
L:=1.3*10^(-3):
A:=2.08*10^(-6):
kp:=1.265:
kn:=1.011:
sigmap:=1.314e-5:
sigman:=1.119e-5:
alphapn:=alphap-alphan:
Rpn:=L/(A)*(sigmap+sigman):
RL:=1:
Kpn:=(A/L)*(kp+kn):
cf:=4205:
cc:=4153:
hf:=80:
hc:=1000:
Tfin:=773:
Tcin:=353:
mf:=20:
mc:=20:

Influence_of_different_cooling_methods_on_thermoelectric_performance_of_an_engine_exhaust_gas_waste_heat_recovery_system.pdf

Has anybody tried Maple 2020.2 on a new Macbook with Apple silicon? I believe native support is in development, i was curious if anyone had experience running Maple via Rosetta 2?

Hello everyone,

I have a problem when searching in a document. Namelly is there a way to search in the whole worksheet including all code editing regions?

In order to show a point, there is a worksheet. I determine a variable

x11:= 12;

This variable is used in the document and code edit regions. Then I want to change a variable name from x11 to x11data. In order to do that, I use Ctrl+F to find all the times when the variable is used. I have a problem while  searching 'x11'. Namelly, the cases outside a code edit region are displayed, and the ones that are situated in the code edit regions are not seen.

Best regards

I used dsolve to solve the Initial value problems numericaly.
When I set the parameter range=1..5*10^4 , it works and cost only about 200s cpu time.
But if I set range=1..2*10^5, it stop running ( cpu time stop) when the mserver memory reach about 1.5 G. (the memory record in the bottom-right of maple interface is about 700M .)

What is the reason please?  

I need help for designing a procedure for Schubert Kronecker polynomial program in maple.

so i have a little school laptop and maple on it works just fine. Then i have my all powerful gaming desktop with an AM RTX 3700x ,RTX 2070S, SSD and 32GB ram.

I have never seen maple run so slow on any pc as i have on my desktop. It is completely impossible to use maple. Just writing normal input like 123 takes forever. One thing i have noticed is evertime i do some sort of action, then the icons to the left slowly go from being colored to grey and back to colored before i can do a new action.

The two images below show an example here you can see it is about to go from being colored to being grey, when i try to mark stuff. I have tried to install the x64 and x86 version, i have tried giving it 4096 ram in the ini file and i have tried removing splash. Nothing works....

I want to find fundamental matrix of the system: X(t).

Actually I need A=X(T) where T is 2*Pi.

So then I can find whether the solution is stable.

The problem is, I don't understand how to find X(t) in Maple. 

Tried to solve numerically with dsolve at t=T but the next step is not obvious.

Eq=z"(t)+3z'(t)+2z(t)=24*(exp(-3t)-exp(-4t)) how to find the gereral solution of this equation. Thank you.