Solving Heat and Wave-Like Equations Using He's Polynomials. (17th August 2009)

• Record Type: Journal Article
• Authors: Mohyud-Din, Syed Tauseef
• Other Names: He Ji Huan Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2009(2009)
• Publication Date: 2009-08-17
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2009/427516
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.