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Application of Multistage Homotopy Perturbation Method to the Chaotic Genesio System

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  • M. S. H. Chowdhury
  • I. Hashim
  • S. Momani
  • M. M. Rahman

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.

Suggested Citation

  • M. S. H. Chowdhury & I. Hashim & S. Momani & M. M. Rahman, 2012. "Application of Multistage Homotopy Perturbation Method to the Chaotic Genesio System," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, May.
    • Handle: RePEc:hin:jnlaaa:974293
    DOI: 10.1155/2012/974293
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