Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential Equation. (17th May 2010)

• Record Type: Journal Article
• Authors: Neamaty Neamaty, A. A.; Darzi Darzi, R. R.
• Other Names: Alves Alves Claudianor Claudianor Academic Editor.
• Is Part Of: Boundary value problems. Volume 2010(2010)
• Publication Date: 2010-05-17
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2010/317369
• Languages: English
• ISSNs: 1687-2762

Abstract

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.