Numerical Simulation of the Modified Regularized Long Wave Equation by He's Variational Iteration Method

被引：16

作者：

Labidi, Manel ^{[2
]}

Omrani, Khaled ^{[1
]}

机构：

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

[2] Ecole Polytech Tunise, Tunis, Tunisia

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 27卷 / 02期

关键词：

variational iteration method; MRLW equation; conservation laws; solitary waves; DIFFERENTIAL-EQUATIONS; DIFFUSION-EQUATIONS; BURGERS; CONVERGENCE; MRLW; APPROXIMATIONS; SCHEME;

D O I：

10.1002/num.20537

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The modified regularized long wave (MRLW) equation, with some initial conditions, is solved numerically by variational iteration method. This method is useful for obtaining numerical solutions with high degree of accuracy. The variational iteration solution for the MRLW equation converges to its exact solution. Moreover, the conservation laws properties of the MRLW equation are also studied. Finally, interaction of two and three solitary waves is shown. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 478-489, 2011

引用

页码：478 / 489

页数：12

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