Enhanced variational iteration method using adomian polynomials for solving the chaotic lorenz system

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

Research output: Contribution to journalArticle

Abstract

A merger of two numeric-analytic methods poses various challenges, but also holds promise. Such a fusion could enhance the performance of calculations and may also overcome certain drawbacks of each used individually. This paper focuses on solving the chaotic Lorenz system, a three-dimensional system of ordinary differential equations with quadratic nonlinearities, using a newly designed hybrid algorithm merging multistage variational iteration method with Adomian polynomials. The core of this algorithm is made by surrogating the nonlinear terms in the variational iteration method with Adomian polynomials. Numerical comparisons are made between the hybrid and the classic fourth-order Runge-Kutta method. Our work demonstrates that the multistage hybrid provides good accuracy and efficiency for the chaotic Lorenz system.

Original languageEnglish
Pages (from-to)689-700
Number of pages12
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume11
Issue number9
DOIs
Publication statusPublished - Sep 2010

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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

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