Question

Solve Laplace’s equation inside a rectangle 0 <= x <= L, 0 <= y <= H, with the following boundary conditions
u(0,y) = g(y), u(L,y)=0, \frac{\partial u}{\partial x} (x,0)=0, u(x,H) = 0

Answer 1

u(0,y) = g(y), u(L,y)=0,
\[\frac{\partial u}{\partial x} (x,0)=0\], u(x,H) = 0