Application of the differential transformation method for the solution of the hyperchaotic Rössler system

M. Mossa Al-Sawalha, Mohd. Salmi Md. Noorani

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

The aim of this paper is to investigate the accuracy of the differential transformation method (DTM) for solving the hyperchaotic Rössler system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the DTM solutions and the fourth-order Runge-Kutta (RK4) solutions are made. The DTM scheme obtained from the DTM yields an analytical solution in the form of a rapidly convergent series. The direct symbolic-numeric scheme is shown to be efficient and accurate.

Original languageEnglish
Pages (from-to)1509-1514
Number of pages6
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume14
Issue number4
DOIs
Publication statusPublished - Apr 2009

Fingerprint

Differential Transformation Method
Hyperchaotic System
Runge-Kutta
Numerics
Fourth Order
Analytical Solution
Nonlinearity
Series

Keywords

  • Differential transformation method
  • Hyperchaotic
  • Rössler system
  • Runge-Kutta method

ASJC Scopus subject areas

  • Modelling and Simulation
  • Numerical Analysis
  • Applied Mathematics

Cite this

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AB - The aim of this paper is to investigate the accuracy of the differential transformation method (DTM) for solving the hyperchaotic Rössler system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the DTM solutions and the fourth-order Runge-Kutta (RK4) solutions are made. The DTM scheme obtained from the DTM yields an analytical solution in the form of a rapidly convergent series. The direct symbolic-numeric scheme is shown to be efficient and accurate.

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