Homotopy analysis method for solving coupled Ramani equations

Jafarian A., Ghaderi P., Khalili Golmankhaneh A., Baleanu D.

Romanian Journal of Physics, vol.59, no.1-2, pp.26-35, 2014 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 59 Issue: 1-2
  • Publication Date: 2014
  • Journal Name: Romanian Journal of Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.26-35
  • Keywords: Approximate solution, Coupled Ramani equations, Homotopy analysis method
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this manuscript, coupled Ramani equations are solved by means of an analytic technique, namely the homotopy analysis method (HAM). The HAM is a capable and a straightforward analytic tool for solving nonlinear problems and does not need small parameters in the governing equations and boundary/initial conditions. The result of this study presents the utility and sufficiency of HAM method. Comparisons demonstrate that there is a good agreement between the HAM solutions and the exact solutions.