This article is cited in 2 papers

Homotopy analysis method and homotopy Padé approximants for solving the Fornberg–Whitham equation

H. R. Marasi, A. Pourmostafa Aqdam

Department of Mathematics, University of Bonab, P.O.Box 5551761167, Bonab, Iran

Abstract: In this paper, the homotopy analysis method (HAM) is sharpened to solve the Fornberg–Whitham equation. Homotopy-Padé technique, and the use of proper initial gauss and auxiliary linear operator are employed to accelerate the convergence of approximations. Results demonstrate the power of the HAM equipped with these techniques in increasing the convergence rate and enlarging the region of convergence.

Keywords and phrases: homotopy analysis method, homotopy Padé technique, Fornberg–Whitham equation.

MSC: 35A15, 35A25

Received: 21.09.2014

Language: English

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