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The multistage homotopy perturbation method for solving hyperchaotic Chen system

Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Asrar, Waqar (2018) The multistage homotopy perturbation method for solving hyperchaotic Chen system. In: 4th International Conference on Mathematical Applications in Engineering 2017, ICMAE 2017, 8th – 9th of August 2017, Kuala Lumpur, Malaysia.

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Abstract

Finding accurate and efficient methods for solving nonlinear hyper chaotic problems has long been an active research undertaking. Like the well-known Adomian decomposition method (ADM) and based on observations, it is hopeless to find HPM solutions of hyper chaotic systems valid globally in time. To overcome this shortcoming, we employ the multistage homotopy-perturbation method (MHPM) to the nonlinear hyperchaotic Chen system. Based on the cases investigated, MHPM is more stable for a longer time span than the standard HPM. Comparisons with the standard HPM and the well-known purely numerical fourth-order Runge-Kutta method (RK4) suggest that the MHPM is a powerful alternative for nonlinear hyper chaotic system. The new algorithm and the new technique for choosing the initial approximations were shown to yield rapidly convergent series solutions.

Item Type: Conference or Workshop Item (Plenary Papers)
Additional Information: 5807/61805
Uncontrolled Keywords: The multistage homotopy; Perturbation method; Solving hyperchaotic Chen system
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA297 Numerical Analysis
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering > Department of Science
Depositing User: Dr. Md Sazzad Hossien Chowdhury
Date Deposited: 13 Feb 2018 11:48
Last Modified: 26 Jun 2018 15:16
URI: http://irep.iium.edu.my/id/eprint/61805

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