Differential Equations and Nonlinear Mechanics
Volume 2007 (2007), Article ID 19529, 16 pages
doi:10.1155/2007/19529
Research Article
Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems
Department of Mathematics, COMSATS Institute of Information Technology, Plot no. 30, Sector H-8, Islamabad, Pakistan
Received 18 September 2007; Revised 10 November 2007; Accepted 11 December 2007
Academic Editor: Yong Zhou
Copyright © 2007 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.
Abstract
We implement a relatively new analytical technique, the variational iteration decomposition method (VIDM), for solving the eighth-order boundary value problems. The proposed method is an elegant combination of variational iteration method and decomposition method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Numerical work is given to check the efficiency of the method. Comparisons are made to confirm the reliability and accuracy of the technique. The technique can be used as an alternative for solving nonlinear boundary value problems.