Network solutions of second-order partial differential equations

Abstract

This paper deals with the study of network solutions of partial differential equations, which is based on the division of the region in the form of a network. The partial derivatives are compensated in the partial differential equation by their equivalent in the individual differences (numerical differentiation), then get on system of linear equations that can be solved by using the method Gauss Sidel, because most the systems are most of the elements are Zeroes so it is preferred to use the methods of repetition, including the method of Jacobi and the method Gauss Sidel. Gauss Siddle method is preferred because it is faster in convergence, This paper used MATLAB to solve the system disintegration using Gauss Side.