Question: laplace, PDE, rectangle, exact solution, Maple 14

hi

I have this PDE:

PDE := diff(f(x, y), x, x)+diff(f(x, y), y, y) = 0

With BCs

bc := {f(0, y) = 0, f(1, y) = 0, f(x, 0) = 0, f(x, 1) = sin(Pi*x)}

which has a relatively simple exact solution.

I'm trying pdsolve and getting nowhere, either numerically or symbolically.

Any advice most welcome

thanks

PL
Please Wait...