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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.
© Emerald Group Publishing Limited
2012
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