Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 696734, 11 pages
Research Article

Variational Homotopy Perturbation Method for Solving Higher Dimensional Initial Boundary Value Problems

Muhammad Aslam Noor and Syed Tauseef Mohyud-Din

Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan

Received 14 January 2008; Revised 28 March 2008; Accepted 28 May 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 suggest and analyze a technique by combining the variational iteration method and the homotopy perturbation method. This method is called the variational homotopy perturbation method (VHPM). We use this method for solving higher dimensional initial boundary value problems with variable coefficients. The developed algorithm is quite efficient and is practically well suited for use in these problems. The proposed scheme finds the solution without any discritization, transformation, or restrictive assumptions and avoids the round-off errors. Several examples are given to check the reliability and efficiency of the proposed technique.