Question: Solve PDEs boundary condition

Dear all ;

I have a Partial differential equation

restart; with(PDEtools);

pde[2] := (diff(u(x, y), x))*(diff(u(x, y), x, x))+diff(u(x, y), y, y);
    where x and y in the square [0,1]

with boundary condition 

bc[2] := u(0, y) = 0, u(1, y) = 0, u(x, 0) = 0, u(x, 1) = 0;

Is there a simple code to compute the solution

Many thanks for any help

 

 

 

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