Mathematical Problems in Engineering
Volume 2007 (2007), Article ID 98602, 15 pages
Homotopy Perturbation Method for Solving Fourth-Order Boundary
Department of Mathematics, Faculty of Science, COMSATS Institute of Information Technology, Islamabad, Pakistan
Received 3 July 2006; Revised 19 September 2006; Accepted 20 September 2006
Academic Editor: Nasiruddin Ahmed
Copyright © 2007 Syed Tauseef Mohyud-Din and Muhammad Aslam Noor. 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 homotopy perturbation method for solving the
fourth-order boundary value problems. The analytical results of the boundary value
problems have been obtained in terms of convergent series with easily computable
components. Several examples are given to illustrate the efficiency and implementation of
the homotopy perturbation method. Comparisons are made to confirm the reliability of the
method. Homotopy method can be considered an alternative method to Adomian
decomposition method and its variant forms.