Differential Equations and The - Braun, Martin 7579 · Problem 3

Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations — Braun, Martin 7579

Mathematics — Calculus · laplace-equation-dirichlet-problem

Problem

Solve the following Dirichlet problem:

u_{xx}+u_{yy}=0, \quad 0<x<a,\ 0<y<b

u(0,y)=0,\quad u(a,y)=0

u(x,b)=0,\quad u(x,0)=f(x)