Application of multistage homotopy perturbation method to the chaotic genesio system

M. S H Chowdhury, Ishak Hashim, S. Momani, M. M. Rahman

Research output: Contribution to journalArticle

11 Citations (Scopus)

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.

Original languageEnglish
Article number974293
JournalAbstract and Applied Analysis
Volume2012
DOIs
Publication statusPublished - 2012

Fingerprint

Homotopy Perturbation Method
Chaotic systems
Chaotic System
Ordinary differential equations
Numerical Comparisons
Runge-Kutta
Numerical methods
System of Ordinary Differential Equations
Dynamical Behavior
Fourth Order
Approximate Solution
Nonlinear Systems
Numerical Methods
Interval

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Application of multistage homotopy perturbation method to the chaotic genesio system. / Chowdhury, M. S H; Hashim, Ishak; Momani, S.; Rahman, M. M.

In: Abstract and Applied Analysis, Vol. 2012, 974293, 2012.

Research output: Contribution to journalArticle

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