CSE 557
Spring 2000
Solution for Assignment #1

Anirudh Modi

Abstract:

A simple relaxation method for the solution of a 2D Laplace equation ( $\nabla^2 \phi=0$) on a rectangular domain is implemented using matrix arrays in MATLAB with two different approaches. The rate of convergence of the two approaches are studied for various grid sizes. It is noted that the convergence rate is inversely proportional to the size of the grid, and that the latter approach (version 2) is twice as fast as the first approach (version 1).