Application of Multistage Homotopy Perturbation Method to the Chaotic Genesio System | Zendy

Md. Sazzad Hossien Chowdhury | Zendy; Ishak Hashim | Zendy; Shaher Momani | Zendy; Md. Mashiar Rahman | Zendy

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Application of Multistage Homotopy Perturbation Method to the Chaotic Genesio System

Author(s) -

Md. Sazzad Hossien Chowdhury,

Ishak Hashim,

Shaher Momani,

Md. Mashiar Rahman

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/974293

Subject(s) - chaotic , mathematics , perturbation (astronomy) , nonlinear system , ordinary differential equation , runge–kutta methods , homotopy analysis method , homotopy , homotopy perturbation method , control theory (sociology) , mathematical analysis , differential equation , computer science , pure mathematics , physics , control (management) , quantum mechanics , artificial intelligence

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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