Solutions of Poisson Equation by Using Galerkin Method

Abstract: Numerical analysis is the area of mathematics and computer science that creates, analyzes, and implements algorithms for solving numerically the problems of continuous mathematics. The objective of this paper is to present a simple and accurate method to solve differential equations. To analyse Galerkin method with unknown functions as basic functions to solve Poisson equations numerically. This study compared the approximate solutions using various number of basis function with the exact solutions. The solution and graphical representation have been verified by Mathemetica and MATLAB. The results are shown in graphically. This paper is to understand the using of Poisson's equation in numerical analysis and the accuracy of the calculation of Galerkin's method. Keywards: Function, Numerical, Galerkin method, Poisson equation, Differential equation