Variational iteration method for solving nonlinear boundary value problems

In this paper, He's variational iteration method is implemented to give approximate and analytical solutions for a class of boundary value problems. The variational iteration method, which produces the solutions in terms of convergent series, requiring no linearization or small perturbation. Numerical examples are given and comparisons are made with the Adomian decomposition method. The fact that this method solves nonlinear equations without using Adomian polynomials can be considered as an advantage of this method over Adomian decomposition method. (c) 2006 Elsevier Inc. All rights reserved.