Homotopy Analysis and Padé́ Methods for Solving Two Nonlinear Equations

Authors

  • Ahmad Golbabai
  • Davood Ahmadian

DOI:

https://doi.org/10.30495/jme.v0i0.84

Keywords:

Drinfeld-Sokolov system, Drinfeld- Sokolov-Wilson equation, homotopy analysis method, homotopy padé method.

Abstract

 In this paper, we are giving analytic approximate solutions to nonlinear PDEs using the Homotopy Analysis Method (HAM) and Homotopy Pad´e Method(HPadéM). The HAM contains the auxiliary parameter h, which provides us with a simple way to adjust and control the convergence regions of solution series. It is illustrated that HPadéM accelerates the convergence of the related series. The results reveal these methods are remarkably effective.

Author Biographies

Ahmad Golbabai

Department of Mathematics Professor of Applied Mathematics Iran University of Science and Technology (IUST) Tehran, Iran

Davood Ahmadian

Department of Mathematics Ph.D student of Applied Mathematics Iran University of Science and Technology (IUST) Tehran, Iran

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Published

2011-05-02

Issue

Vol 5 (2010-2011)

Section

Vol. 5, No. 2(2), (2011)

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