Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 696734, 11 pages
Variational Homotopy Perturbation Method for Solving Higher Dimensional Initial Boundary Value Problems
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.