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

Muhammad Aslam Noor and Syed Tauseef Mohyud-Din

 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

Recommended by Yong Zhou

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.