Application of multistage homotopy perturbation method to the chaotic Genesio System

• Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Momani, Shaher Mohammad, Rahman, M. M.
• Format: Article
• Language: English
• Published: Hindawi Publishing Corporation 2012
• Subjects: QA76 Computer software
• Online Access: http://irep.iium.edu.my/28222/1/Application_of_Multistage_Homotopy_Perturbation_Method_to_the_Chaotic_Genesio_System.pdf; http://irep.iium.edu.my/28222/; http://www.hindawi.com/journals/aaa/2012/974293/
• Institution: Universiti Islam Antarabangsa Malaysia

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.