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

Variational iteration method for Hirota‐Satsuma coupled KdV equation using auxiliary parameter 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat and Fluid Flow Emerald Publishing

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

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References (32)

Publisher
Emerald Publishing
Copyright
Copyright © 2012 Emerald Group Publishing Limited. All rights reserved.
ISSN
0961-5539
DOI
10.1108/09615531211208006
Publisher site
See Article on Publisher Site

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.

Journal

International Journal of Numerical Methods for Heat and Fluid FlowEmerald Publishing

Published: Apr 13, 2012

Keywords: Iterative methods; Differential equations; Variational iteration method; Auxiliary parameter; Hirota‐Satsuma coupled KdV equation

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