Find the solution of Laplace’s equation on the circular domain \(0\le r\le R\), \(0\le \theta <2\pi \), with Dirichlet boundary data \(u(R,\theta )=f(\theta )\).
Question
Math 6420 • PDE
Fall 2004 • Question 9
Question
Fall 2004 • Question 9
Find the solution of Laplace’s equation on the circular domain \(0\le r\le R\), \(0\le \theta <2\pi \), with Dirichlet boundary data \(u(R,\theta )=f(\theta )\).