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

NEW APPROACH TO SOLVE HYBRID FUZZY DIFFERENTIAL EQUATION

Saveetha Natesan1, Nirmala Venkatachalem2 and S. Chenthur Pandian1
  • 1 , India
  • 2 University College of Engineering Tindivanam, India

Abstract

This study presents solution for the first order hybrid fuzzy differential equation by Runge-Kutta method of order two with new parameters and Harmonic mean of ki’s which are used in the main formula in order to increase the order of accuracy of the solution. This method is discussed in detail followed by a complete error analysis. The accuracy and efficiency of the proposed method is illustrated by solving a fuzzy initial value problem.

Journal of Mathematics and Statistics
Volume 9 No. 3, 2013, 175-179

DOI: https://doi.org/10.3844/jmssp.2013.175.179

Submitted On: 7 June 2013 Published On: 1 July 2013

How to Cite: Natesan, S., Venkatachalem, N. & Pandian, S. C. (2013). NEW APPROACH TO SOLVE HYBRID FUZZY DIFFERENTIAL EQUATION. Journal of Mathematics and Statistics, 9(3), 175-179. https://doi.org/10.3844/jmssp.2013.175.179

Open AccessCopyright: © 2013 Saveetha Natesan, Nirmala Venkatachalem and S. Chenthur Pandian. 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

  • Fuzzy Numbers
  • Fuzzy Differential Equations
  • Hybrid Systems
  • Multistep Runge-Kutta Method