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

K. Kanagarajan; S. Muthukumar; S. Indrakumar

doi:https://doi.org/10.14445/22315373/IJMTT-V6P511

International Journal of Mathematics Trends and Technology

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Volume 6 | Number 2 | Year 2014 | Article Id. IJMTT-V6P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V6P511

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

K. Kanagarajan , S. Muthukumar , S. Indrakumar

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.

Keywords

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

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Citation :

K. Kanagarajan , S. Muthukumar , S. Indrakumar, "Numerical Solution of Fuzzy Differential Equations by Extended Runge-Kutta Method and the Dependency Problem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 6, no. 2, pp. 113-122, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V6P511