Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 954794, 12 pages
Variational Iteration Method for Fifth-Order Boundary Value Problems
Using He's Polynomials
Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan
Received 8 January 2008; Revised 31 January 2008; Accepted 5 March 2008
Academic Editor: David Chelidze
Copyright © 2008 Muhammad Aslam Noor and Syed Tauseef Mohyud-Din. 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.
We apply the variational iteration method using He's polynomials (VIMHP) for solving the fifth-order boundary value problems. The proposed method is an elegant combination of variational iteration and the homotopy perturbation methods and is mainly due to Ghorbani (2007). The suggested algorithm is quite efficient and is practically well suited for use in these problems. The proposed iterative scheme finds the solution without any discritization, linearization, or restrictive assumptions. Several examples are given to verify the reliability and efficiency of the method. The fact that the proposed technique solves nonlinear problems without using Adomian's polynomials can be considered as a clear advantage of this algorithm over the decomposition method.