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2012 Application of Multistage Homotopy Perturbation Method to the Chaotic Genesio System
M. S. H. Chowdhury, I. Hashim, S. Momani, M. M. Rahman
Abstr. Appl. Anal. 2012(SI12): 1-10 (2012). DOI: 10.1155/2012/974293


Finding accurate solution of chaotic system by using efficient existing numerical methods is very hard for its complex dynamical behaviors. In this paper, the multistage homotopy-perturbation method (MHPM) is applied to the Chaotic Genesio system. The MHPM is a simple reliable modification based on an adaptation of the standard homotopy-perturbation method (HPM). The HPM is treated as an algorithm in a sequence of intervals for finding accurate approximate solutions to the Chaotic Genesio system. Numerical comparisons between the MHPM and the classical fourth-order Runge-Kutta (RK4) solutions are made. The results reveal that the new technique is a promising tool for the nonlinear chaotic systems of ordinary differential equations.


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M. S. H. Chowdhury. I. Hashim. S. Momani. M. M. Rahman. "Application of Multistage Homotopy Perturbation Method to the Chaotic Genesio System." Abstr. Appl. Anal. 2012 (SI12) 1 - 10, 2012.


Published: 2012
First available in Project Euclid: 1 April 2013

zbMATH: 1246.65241
MathSciNet: MR2922939
Digital Object Identifier: 10.1155/2012/974293

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI12 • 2012
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