Variational iteration method for Hirota-Satsuma coupled KdV equation using auxiliary parameter

被引：19
|
作者：
Hosseini, Said Mohammad Mehdi [2 ]
Mohyud-Din, Syed Tauseef [1 ]
Ghaneai, Husain [3 ]
机构：
[1] HITEC Univ, Taxila Cantt, Pakistan
[2] Yazd Univ, Fac Math, Yazd, Iran
[3] Yazd Univ, Fac Math, Yazd, Iran
来源：
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW | 2012年 / 22卷 / 3-4期
关键词：
Iterative methods; Differential equations; Variational iteration method; Auxiliary parameter; Hirota-Satsuma coupled KdV equation; PARTIAL-DIFFERENTIAL-EQUATIONS; HOMOTOPY PERTURBATION METHOD; SOLITARY WAVE SOLUTIONS;
D O I：
10.1108/09615531211208006
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
Purpose - The purpose of this paper is to apply He's variational iteration method (VIM) coupled with an auxiliary parameter, which proves very effective to control the convergence region of approximate solution. Design/methodology/approach - The proposed algorithm is tested on generalized Hirota-Satsuma coupled KdV equation. Findings - Numerical results explicitly reveal the complete reliability, efficiency and accuracy of the suggested technique. Originality/value - It is observed that the approach may be implemented on other nonlinear models of physical nature.
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页码：277 / 286
页数：10
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