A new application of variational iteration method for the chaotic Rössler system

Su Mei Goh, M. S M Noorani, I. Hashim

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

This paper emphasizes the strength of variational iteration method (VIM) in numerically solving the chaotic Rössler system. The Rössler system is a three-dimensional system of ODEs with quadratic nonlinearities. An adaptation of the VIM was implemented and is called the multistage VIM (MVIM). Numerical comparisons are made between MVIM and the classical fourth-order Runge-Kutta (RK4) with results showing extremely good performance by MVIM, yielding great accuracy and efficiency.

Original languageEnglish
Pages (from-to)1604-1610
Number of pages7
JournalChaos, Solitons and Fractals
Volume42
Issue number3
DOIs
Publication statusPublished - 15 Nov 2009

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Variational Iteration Method
Chaotic System
Numerical Comparisons
Runge-Kutta
Fourth Order
Nonlinearity
Three-dimensional

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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A new application of variational iteration method for the chaotic Rössler system. / Goh, Su Mei; Noorani, M. S M; Hashim, I.

In: Chaos, Solitons and Fractals, Vol. 42, No. 3, 15.11.2009, p. 1604-1610.

Research output: Contribution to journalArticle

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