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.?

@Carl Love 

Yes ,you are absolutey right,Mathematica can't also expand derivatives.

Form here: http://functions.wolfram.com/HypergeometricFunctions/HypergeometricU/20/01/01/

we see that for: a parameter first derivative does not exist a closed-form solution.

@Shaaban 

In Mathematica 12.1 HypergeometricU[1, 1, x] is the same as KummerU(1,1,x) in Maple.

@muioxygen 

If you want save files *.mws to hard drive then: right click and save target as:

With complicated function probably only hope to get answer is use evalf(Int).

@Christopher2222 

and aac,opus format.

@Thomas Dean 

Code not work's for 2 variable?

@permanoon123 

See attached file.

Integral_new.mw

Maple can't solve PDE with numerics.