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

Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Momani, Shaher Mohammad (2009) The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system. Chaos, Solitons and Fractals, 40 (4). pp. 1929-1937. ISSN 0960-0779

PDF (The multistage homotopy-pertubation) - Published Version Restricted to Repository staff only Download (436kB) | Request a copy

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 (i.e. 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 reveal that the new technique is a promising tool for the nonlinear systems of ODEs

Item Type:	Article (Journal)
Additional Information:	5807/6663
Uncontrolled Keywords:	homotopy-pertubation, Lorenz
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:	11 Nov 2011 10:39
Last Modified:	22 Nov 2011 01:30
URI:	http://irep.iium.edu.my/id/eprint/6663

Actions (login required)

View Item