Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2753

Full Length Research Paper

Optimal homotopy perturbation method for solving partial differential equations with large solution domain

M. Abolhasani1, M. M. Hosseini1, H. Ghaneai1 and Syed Tauseef Mohyud-Din2*
1Faculty of Mathematics, Yazd University, Yazd, Iran. 2Department of Mathematics, HITEC University Taxila Cantt Pakistan.
Email: [email protected]

  •  Accepted: 17 February 2012
  •  Published: 31 March 2012

Abstract

In this paper, an efficient modification of homotopy perturbation method, namely optimal homotopy perturbation method, is introduced for solving linear and nonlinear partial differential equations with large solution domain based on a new homotopy perturbation method and Padé approximation method. We compare the performance of the method with those of new homotopy perturbation and optimal variational iteration methods via three partial differential equations with large solution domain. Numerical results explicitly reveal that the suggested technique is highly capable to control the convergence region of approximate solution.

 

Key words: New homotopy perturbation method, Pade´ approximation, optimal variational iteration method.