Jameela, Ali and Anakira, N. R. and Alomari, A. K. and Hashim, Ishak and Shakhatreh, M. A. (2016) Numerical solution of n’th order fuzzy initial value problems by six stages. Journal of Nonlinear Science Applications, 9 (2). pp. 627-640. ISSN 2008-1898

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Abstract

The purpose of this paper is to present a numerical approach to solve fuzzy initial value problems (FIVPs) involving n-th order ordinary differential equations.The idea is based on the formulation of the six stages Runge-Kutta method of order five (RKM56) from crisp environment to fuzzy environment followed by the stability definitions and the convergence proof.It is shown that the n-th order FIVP can be solved by RKM56 by transforming the original problem into a system of first-order FIVPs. The results indicate that the method is very effective and simple to apply.An efficient procedure is proposed of RKM56 on the basis of the principles and definitions of fuzzy sets theory and the capability of the method is illustrated by solving second-order linear FIVP involving a circuit model problem.

Item Type:	Article
Uncontrolled Keywords:	Fuzzy numbers, fuzzy differential equations, circuit model problem, six stages Runge-Kutta method of order five
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Mrs. Norazmilah Yaakub
Date Deposited:	28 Jun 2016 06:29
Last Modified:	28 Jun 2016 06:29
URI:	https://repo.uum.edu.my/id/eprint/18356

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