Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 427516, 12 pages
Research Article

Solving Heat and Wave-Like Equations Using He's Polynomials

Basic Sciences, HITEC University, 44000 Taxila Cantt, Pakistan

Received 21 May 2009; Revised 30 June 2009; Accepted 6 July 2009

Academic Editor: Ji Huan He

Copyright © 2009 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 use He's polynomials which are calculated form homotopy perturbation method (HPM) for solving heat and wave-like equations. The proposed iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions. Several examples are given to verify the reliability and efficiency of the method. The fact that suggested technique solves nonlinear problems without using Adomian's polynomials is a clear advantage of this algorithm over the decomposition method.