期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 59, 期 8, 页码 2743-2750出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2010.01.042
关键词
Homotopy analysis method; Adomian decomposition method; Homotopy perturbation method; Fornberg-Whitham equation
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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