Chebyshev Collocation Method for the Helmholtz Problem
Chebyshev Collocation Method for the Helmholtz Problem
Consider the Helmholtz equation: ++u=exp-10+, with the boundary conditions and . You can set the value of . This Demonstration then solves this PDE using the Chebyshev collocation method adapted for 2D problems. The solution is given either as a 3D plot or a contour plot.
u
xx
u
yy
2
k
2
(y-1)
2
(x-0.5)
-1≤x,y≤1
u(x,y)=0
k