Develop a numerical solution to the two-dimensional Poisson problem using the red-black scheme of Problem Name the function poisson2dgs. Apply poisson2dgs to the problem of Example A thin...

Develop a numerical solution to the two-dimensional Poisson problem using the red-black scheme of Problem
Name the function poisson2dgs.

Apply poisson2dgs to the problem of Example

A thin membrane is stretched over a wire bent in the shape of a triangle. The resulting structure satisfies Laplace’s equation. Consider the specific problem

Graph

by summing the series until the relative error of the partial sums is less than

Apply poisson2dgs and graph the approximate solution.