The homotopy analysis method for solving the Fornberg-Whitham equation and comparison with Adomian's decomposition method

被引：49

作者：

Abidi, Faycal ^{[2
]}

Omrani, Khaled ^{[1
]}

机构：

[1] Inst Super Sci Appl & Technol Sousse, Sousse Ibn Khaldoun 4003, Tunisia

[2] Ecole Polytech Tunis, La Marsa 2078, Tunisia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 08期

关键词：

Homotopy analysis method; Adomian decomposition method; Homotopy perturbation method; Fornberg-Whitham equation; PERTURBATION METHOD;

D O I：

10.1016/j.camwa.2010.01.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2743 / 2750

页数：8

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