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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Efficiency of Differential Transformation Method for Genesio System

Jafar Husni Ahmad

Abstract

Problem statement: In this study, a continuous solution for Genesio system was considered using Differential Transformation Method (DTM). Approach: Numerical results were compared to those obtained by the Runge-Kutta method to evaluate the performance of the suggested method. Results: The accuracy of the DTM was tested as the chaotic Genesio system. Conclusion/Recommendations: It was shown that the DTM was robust, accurate and easy to apply and gave analytical solution on each subinterval, which was not possible in the purely numerical method.

Journal of Mathematics and Statistics
Volume 5 No. 2, 2009, 93-96

DOI: https://doi.org/10.3844/jmssp.2009.93.96

Submitted On: 27 October 2008 Published On: 30 June 2009

How to Cite: Ahmad, J. H. (2009). Efficiency of Differential Transformation Method for Genesio System . Journal of Mathematics and Statistics, 5(2), 93-96. https://doi.org/10.3844/jmssp.2009.93.96

Open AccessCopyright: © 2009 Jafar Husni Ahmad. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Genesio system
  • differential transformation
  • Runge-Kutta
  • numerical method