Numerical Solution of Fuzzy Differential Equations by Extended Runge-Kutta Method and the Dependency Problem

 International Journal of Mathematical Trends and Technology (IJMTT) © 2014 by IJMTT Journal Volume-6 Year of Publication : 2014 Authors : K. Kanagarajan , S. Muthukumar , S. Indrakumar 10.14445/22315373/IJMTT-V6P511

K. Kanagarajan , S. Muthukumar , S. Indrakumar. "Numerical Solution of Fuzzy Differential Equations by Extended Runge-Kutta Method and the Dependency Problem", International Journal of Mathematical Trends and Technology (IJMTT). V6:113-122 February 2014. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In this paper we use extended Runge-Kutta-like formulae of order four (ERK4) and of order five (ERK5) by taking into account the dependency problem that arises in fuzzy setting. This method is adopted to solve the dependency problem in fuzzy computation. Examples are presented to illustrate the theory.

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Keywords
The Extended Runge-Kutta method, Fuzzy initial value problem, Dependency problem in fuzzy computation.