Numerical solutions of fuzzy differential equations by extended Runge--Kutta-like formulae of order 4

Authors:
B. Ghazanfari;A. Shakerami
Affiliations:
Department of Mathematics, Lorestan University, 68137-17133 Khoramabad, Iran;Lorestan Education Department, Khoramabad, Iran
Venue:
Fuzzy Sets and Systems
Year:
2012

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Abstract

In this paper, we apply a numerical algorithm for solving the fuzzy first order initial value problem, based on extended Runge-Kutta-like formulae of order 4. We use Seikkala's derivative. The elementary properties of this new solution are given. We use the extended Runge-Kutta-like formulae in order to enhance the order of accuracy of the solutions using evaluations of both f and f^', instead of the evaluations of f only.