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

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.

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