Solution of Bratu's Equation by He's Variational Iteration Method

Abstract

The purpose of this paper is to use He's variational iteration methodfor solving Bratu's boundary value problem, using only three terms in series expansion of nonlinear part. The method converges rapidly and approximates the exact solution very accurately. Two special cases of the problem are illustrated by using two iterates of the recursive scheme and the numerical results and conclusions will be p resented.