Variational iteration method as a reliable treatment for the hyperchaotic rössler system

Su Mei Goh, M. S.N. Noorani, I. Hashim, M. Mossa Al-Sawalha

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

This paper concerns the implementation of variational iteration method (VIM) in solving the hyperchaotic Rössler analytically. It is a four dimensional system of ODEs with quadratic nonlinearities. The computation was made using a newly found version called the multistage VIM (MVIM) which offers some slight modification to the traditional VIM. Numerical comparisons are made between MVIM and the classical fourth-order Runge-Kutta (RK4) with results displaying extremely good performance by MVIM, yielding great accuracy and efficiency. It is also evident that MVIM surpasses (in terms of accuracy) its two counterparts, the Adomian decomposition method (ADM) and Differential transformation method (DTM).

Original languageEnglish
Pages (from-to)363-371
Number of pages9
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume10
Issue number3
DOIs
Publication statusPublished - 01 Jan 2009

Fingerprint

Hyperchaotic System
Variational Iteration Method
iteration
Decomposition
Differential Transformation Method
Adomian Decomposition Method
Numerical Comparisons
Runge-Kutta
nonlinearity
Fourth Order
decomposition
Nonlinearity

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Computational Mechanics
  • Modelling and Simulation
  • Engineering (miscellaneous)
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

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Variational iteration method as a reliable treatment for the hyperchaotic rössler system. / Goh, Su Mei; Noorani, M. S.N.; Hashim, I.; Al-Sawalha, M. Mossa.

In: International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 10, No. 3, 01.01.2009, p. 363-371.

Research output: Contribution to journalArticle

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