Differential Equations and Nonlinear Mechanics
Volume 2007 (2007), Article ID 19529, 16 pages
doi:10.1155/2007/19529
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
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.