Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 59, Issue 8, Pages 2743-2750Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2010.01.042
Keywords
Homotopy analysis method; Adomian decomposition method; Homotopy perturbation method; Fornberg-Whitham equation
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In this work, an analytical technique, namely the homotopy analysis method (HAM), is applied to obtain an approximate analytical solution of the Fornberg-Whitham equation. A comparison is made between the HAM results and the Adomian's decomposition method (ADM) and the homotopy perturbation method (HPM). The results reveal that HAM is very simple and effective. The HAM contains the auxiliary parameter h, which provides us with a simple way to adjust and control the convergence region of solution series. (C) 2010 Elsevier Ltd. All rights reserved.
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