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Open Access Research Article

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

A Neamaty1 and R Darzi2*

Author Affiliations

1 Department of Mathematics, University of Mazandaran, Babolsar 47416-95447, Iran

2 Department of Mathematics, Islamic Azad University Neka Branch, Neka 48411-86114, Iran

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Boundary Value Problems 2010, 2010:317369  doi:10.1155/2010/317369

Published: 17 May 2010

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.