How would I solve this Laplace equation?

Questions
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1

Hi there,

I have a laplace equation \nabla ^2 phi =0 , with boundary conditions

\phi (x=\pm a, y=0)=\pm U/2
\phi (x=\pm \infty, y=\pm \infty) = 0

How would I solve that in Mathematica? I tried to use DSolve Second Order PDEs but I don’t quite understand it.. :confused:

2

Check this Solving2DHelmholtz or that Solving2DHelmholtzArbitraryShape the last one is really step by step, follow the whole post throughly, Laplace is a special case of Helmholtz.