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Article

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

by
M. M. Hosseini
1,
Syed Tauseef Mohyud-Din
2,* and
H. Ghaneai
1
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.
Math. Comput. Appl. 2011, 16(4), 959-968; https://doi.org/10.3390/mca16040959
Published: 1 December 2011
Versions Notes

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

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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. https://doi.org/10.3390/mca16040959

AMA Style

Hosseini MM, Mohyud-Din ST, Ghaneai H. On the Coupling of Auxiliary Parameter, Adomian's Polynomials and Correction Functional. Mathematical and Computational Applications. 2011; 16(4):959-968. https://doi.org/10.3390/mca16040959

Chicago/Turabian Style

Hosseini, M. M., Syed Tauseef Mohyud-Din, and H. Ghaneai. 2011. "On the Coupling of Auxiliary Parameter, Adomian's Polynomials and Correction Functional" Mathematical and Computational Applications 16, no. 4: 959-968. https://doi.org/10.3390/mca16040959

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