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Application of multistage homotopy perturbation method to the chaotic genesio system
Chowdhury M.S.H., Hashim I., , Rahman M.M.
Published in
2012
Volume: 2012
   
Abstract
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. Copyright 2012 M. S. H. Chowdhury et al.
About the journal
JournalAbstract and Applied Analysis
ISSN10853375
Open AccessNo