Boundary Value Problems
Volume 2010 (2010), Article ID 317369, 14 pages
doi:10.1155/2010/317369
Research Article

Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential Equation

A. Neamaty1 and R. Darzi2

1Department of Mathematics, University of Mazandaran, Babolsar 47416-95447, Iran
2Department of Mathematics, Islamic Azad University Neka Branch, Neka 48411-86114, Iran

Received 28 October 2009; Accepted 10 April 2010

Academic Editor: Claudianor Alves

Copyright © 2010 A. Neamaty and R. Darzi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We applied the variational iteration method and the homotopy perturbation method to solve Sturm-Liouville eigenvalue and boundary value problems. The main advantage of these methods is the flexibility to give approximate and exact solutions to both linear and nonlinear problems without linearization or discretization. The results show that both methods are simple and effective.