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Math. Comput. Appl. 2011, 16(4), 959-968; doi:10.3390/mca16040959

On the Coupling of Auxiliary Parameter, Adomian's Polynomials and Correction Functional

1
Faculty of Mathematics, Yazd University, P.O. Box 89195-74, Yazd, Iran
2
HITEC University Taxila Cantt Pakistan
*
Author to whom correspondence should be addressed.
Published: 1 December 2011
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Abstract

In this paper, we apply He’s variational iteration method (VIM) coupled with an auxiliary parameter and Adomian’s polynomials which proves very effective to control the convergence region of approximate solution. The proposed algorithm is tested on generalized Hirota–Satsuma coupled KdV equation and numerical results explicitly reveal the complete reliability, efficiency and accuracy of the suggested technique. It is observed that the approach may be implemented on other nonlinear models of physical nature.
Keywords: Variational iteration method; Auxiliary parameter; Adomian’s polynomials; Hirota–Satsuma coupled KdV equation Variational iteration method; Auxiliary parameter; Adomian’s polynomials; Hirota–Satsuma coupled KdV equation
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Hosseini, M.M.; Mohyud-Din, S.T.; Ghaneai, H. On the Coupling of Auxiliary Parameter, Adomian's Polynomials and Correction Functional. Math. Comput. Appl. 2011, 16, 959-968.

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