Variational iteration method for Hirota‐Satsuma coupled KdV equation using auxiliary parameter
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 13 April 2012
Abstract
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.
Keywords
Citation
Mohammad Mehdi Hosseini, S., Tauseef Mohyud‐Din, S. and Ghaneai, H. (2012), "Variational iteration method for Hirota‐Satsuma coupled KdV equation using auxiliary parameter", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 No. 3, pp. 277-286. https://doi.org/10.1108/09615531211208006
Publisher
:Emerald Group Publishing Limited
Copyright © 2012, Emerald Group Publishing Limited