Numerical solutions for the damped generalized regularized long-wave equation with a variable coefficient by Adomian decomposition method

被引：31

作者：

Achouri, Talha ^{[2
]}

Omrani, Khaled ^{[1
]}

机构：

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

[2] Fac Sci Monastir, Monastir 5019, Tunisia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 05期

关键词：

DGRLW equation; Adomian decomposition method; Modified decomposition method; Numerical solution; Error analysis; MODEL-EQUATIONS; CONVERGENCE; BEHAVIOR;

D O I：

10.1016/j.cnsns.2008.07.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Adomian's decomposition method is proposed to approximate the solutions of the nonlinear damped generalized regularized long-wave (DGRLW) equation with a variable coefficient. The solution of the nonlinear DGRLW equation is calculated in the form of series with computable components. Numerical examples are tested to illustrate the proposed scheme. Moreover, the approximate solution is compared with the exact solution. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：2025 / 2033

页数：9

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