Homotopy-perturbation method for solving linear and nonlinear differential equation

Chowdhury, Md. Sazzad Hossien (2015) Homotopy-perturbation method for solving linear and nonlinear differential equation. In: 2nd International Conference on Mathematical Sciences & Computer Engineering, 05-06 February 2015, Langkawi, Malaysia,. (Unpublished)

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Abstract

In this presentation, the multistage homotopy-perturbation method (MHPM) is considered to solve the nonlinear chaotic Lü system and hyperchaotic Chen and Lorenz system. MHPM is a technique adapted from the standard homotopy- perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time intervals. To ensure the precision of the MHPM technique applied in this work, the results are compared with a fourth-order Runge-Kutta method and the standard HPM. The MHPM is tested for several examples. Numerical comparisons demonstrate the limitations of HPM and promising capability of the MHPM for solving chaotic and hyperchaotic systems. The results obtained with minimum amount of computational work show that the MHPM is an efficient and powerful technique in solving both chaotic and hyperchaotic systems.

Item Type:	Conference or Workshop Item (Keynote)
Additional Information:	5807/44868
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	27 Jan 2016 02:12
Last Modified:	27 Jan 2016 02:13
URI:	http://irep.iium.edu.my/id/eprint/44868

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