The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system

Chowdhury, Md. Sazzad Hossien (2010) The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system. In: IIUM Research, Invention and Innovation Exhibition (IRIIE 2010), 26-27 January 2010, Culture Activity Centre, IIUM, Gombak.

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Abstract

In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is presented. The HPM is treated, as an algorithm in a sequence of intervals (ie time step) for finding accurate approximate solutions to the famous Lorenz system. Numerical comparisons between the multistage homotopy-perturbation method (MHPM) and the classical fourth-order Runge-Kutta (RK4) method reveals that the new technique is a promising tool for the nonlinear systems of ODEs.

Item Type:	Conference or Workshop Item (Poster)
Additional Information:	5807/10939
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 Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	19 Dec 2011 14:16
Last Modified:	19 Dec 2011 19:33
URI:	http://irep.iium.edu.my/id/eprint/10939

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