Analytical solution of variant Boussinesq equations

Jabbari A., Kheiri H., Bekir A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.37, no.6, pp.931-936, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 6
  • Publication Date: 2014
  • Doi Number: 10.1002/mma.2853
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.931-936
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In this paper, analytic solutions of the variant Boussinesq equations are obtained by the homotopy analysis and the homotopy Pade methods. The obtained approximation using homotopy method contains an auxiliary parameter, which is a simple way to control and adjust the convergence region and rate of solution series. The approximation solutions by [m,m] homotopy Pade technique is often independent of auxiliary parameter PLANCK CONSTANT OVER TWO PI, and this technique accelerates the convergence of the related series. Copyright (c) 2013 John Wiley & Sons, Ltd.