@graleo 

If I change to:  u2(x, 1) = 1 ,Maple give me a error messages: "unable to handle elliptic PDEs", that's mean Maple can't solve.

See for more info: https://www.mapleprimes.com/questions/227556-Elliptical-PDEs

@graleo 

Please post the equations, in copy-and-pastable Maple format. It is unrealistic to expect people to re-key them.

It is impolite to expect other people to have to type in your equations for you.

@Axel Vogt 

Looks like:

sum(2^(2*j)*(-2*j + 1)^(-j)*GAMMA(-1/2 + j)/sqrt(Pi) - 2^(2*j)*(-2*j + 1)^(-j)*GAMMA(-1/2 + j)*GAMMA(j + 1, (-1/2 + j)*ln(2))/(sqrt(Pi)*GAMMA(j + 1)), j = 0 .. infinity);

evalf(%);

0.690239719

With no hope for closed-form.

Please post the equations, in copy-and-pastable Maple format. It is unrealistic to expect people to re-key them.

It makes it convenient for them and more likely you will get someone to help you.

Please post the equations, in copy-and-pastable Maple format. It is unrealistic to expect people to re-key them.

@vv 

@panke 

I don't have maple  version 13.

Above code works on maple 2020.

@manju

What do you mean by share ?

Forumla is not correct.
 

See attached file:

Area.mw

Are you saying that after 4 years on MaplePrimes, you don't know how to even enter the above equations into Maple?

@Carl Love 

Ok I corrected my answer.

@student_md 

Try:

eq := diff(u(x, t), t $ alpha) - diff(u(x, t), x $ 2) - sqrt(u(x, t)^2) + u(x, t)^2 = 0;
IC := [u(x, 0) = 3];
Asolve([eq], IC, index = 16, alpha = 1, x = 0 .. 2, t = 0 .. 1, u = 0 .. 10, output = plot, pade = [20, 20]);

for: u(x,t) > 0.

Or contact the authors of the program for more info.See below:

lyzinfo@gmail.com

ypliu@cs.ecnu.edu.cn

lizb@csecnuedu.cn

First all we need all Maple code ,a certain minimum amount of effort is expected from the poster of a question.

Unfortunately it will be hard to help you without actual code we can use to reproduce the issue. 

@Rouben Rostamian  

It's time to go about it so you don't get far behind the competition like another software aka: Mathematica,COSMOL,Matlab

@rlopez 

And when we see  a numeric elliptic solver in Maple.?