Journal of Mathematical Extension (Sep 2011)

Homotopy Analysis and Pade´ Methods for Solving Two Nonlinear Equations

  • A. Golbabai,
  • H. Kheiri,
  • D. Ahmadian

Journal volume & issue
Vol. 5, no. 3
pp. 123 – 139

Abstract

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In this paper, we are giving analytic approximate solutions to nonlinear PDEs using the Homotopy Analysis Method (HAM) and Homotopy Pad´e Method(HPad´eM). 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 HPad´eM accelerates the convergence of the related series. The results reveal these methods are remarkably effective.