A step variational iteration method for solving non-chaotic and chaotic systems

R. Yulitaulita Molliq, Mohd. Salmi Md. Noorani, Rokiah @ Rozita Ahmad, A. K. Alomari

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, a new reliable method called the step variational iteration method (SVIM) based on an adaptation of the variational iteration method (VIM) is presented to solve non-chaotic and chaotic systems. The SVIM uses the general Lagrange multipliers for constructing the correction functional for the problems. The SVIM yields a step analytical solution of the form of a rapidly convergent infinite power series with easily computable terms and obtain a good approximate solution for larger intervals. The accuracy of the presented solution obtained is in an excellent agreement with the previously published solutions.

Original languageEnglish
Pages (from-to)347-358
Number of pages12
JournalSains Malaysiana
Volume42
Issue number3
Publication statusPublished - Mar 2013

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Chaotic systems
Lagrange multipliers

Keywords

  • Chaotic and non-chaotic systems
  • Lagrange multiplier
  • Multistage variational iteration method
  • Step variational iteration method
  • Variational iteration method

ASJC Scopus subject areas

  • General

Cite this

A step variational iteration method for solving non-chaotic and chaotic systems. / Molliq, R. Yulitaulita; Md. Noorani, Mohd. Salmi; Ahmad, Rokiah @ Rozita; Alomari, A. K.

In: Sains Malaysiana, Vol. 42, No. 3, 03.2013, p. 347-358.

Research output: Contribution to journalArticle

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