How do I solving Poisson Equation Finite-difference using maple
consider Poisson equation
$$\frac{\partial^2u}{\partial x^2} (x,y)+ \frac{\partial^2u}{\partial y^2} (x,y) = x*e^y$$
$0<x<2$ , $0<y<1$.
with the boundary conditions
$u(0,y)=0$, $u(2,y)=2*e^y$ , $0\leq y \leq1$.
$u(x,0)=x$, $u(x,1)=e*x$ , $0\leq x \leq 2$
Elliptic equations are not currently handled by Maple's numeric PDE solvers. You would have to code the linear algebra yourself.