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

S. M. Goh, M. Mossa Al-Sawalha, Mohd. Salmi Md. Noorani, Ishak 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
Publication statusPublished - Sep 2010

Fingerprint

Adomian Polynomials
Variational Iteration Method
Lorenz System
Chaotic systems
Chaotic System
iteration
polynomials
Polynomials
Runge-Kutta method
Mergers
Runge Kutta methods
Numerical Comparisons
Hybrid Algorithm
Runge-Kutta Methods
Numerics
System of Ordinary Differential Equations
Merging
Ordinary differential equations
Fourth Order
Fusion

Keywords

  • Adomian polynomials
  • Lorenz system
  • Runge-Kutta method
  • Variational iteration method

ASJC Scopus subject areas

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

Cite this

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