A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems

Chowdhury, Md. Sazzad Hossien and Hassan, Talib Hashim and Ismail, Ahmad Faris (2010) A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems. In: 6th IMT-GT Conference on Mathematics, Statistics and its Applications (ICMSA2010), 3-4 November, 2010, Kuala Lumpur, Malaysia.

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Abstract

In this paper, the homotopy-perturbation method (HPM) is modified in order to obtain the approximate solutions of the nonlinear differential equation response in a sequence of time intervals. The modified method provides a solution close to the exact one within a certain error. The accuracy of this method is examined by comparison with the Adomian decomposition method (ADM). The results prove that the modified HPM is a powerful tool for the solution of nonlinear equations.

Item Type:	Conference or Workshop Item (UNSPECIFIED)
Additional Information:	5807/2245
Uncontrolled Keywords:	homotopy-pertubation method (HPM), Lotka-Volterra systems
Subjects:	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 Mechanical Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	05 Oct 2011 22:00
Last Modified:	17 Jun 2020 16:20
URI:	http://irep.iium.edu.my/id/eprint/2245

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