# Chebyshev Collocation Method for 2D Boundary Value Problems

Chebyshev Collocation Method for 2D Boundary Value Problems

Consider the 2D boundary value problem given by u=+=10sin[ax(y-b)], with boundary conditions and . You can set the values of and . Using this Demonstration, you can solve the PDE using the Chebyshev collocation method adapted for 2D problems. The solution is shown as either a 3D plot or a contour plot.

2

∇

u

xx

u

yy

-1≤x,y≤1

u(x,y)=0

a

b