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Numerical solutions of fuzzy differential equations by extended Runge-Kutta-like formulae of order 4. (English) Zbl 1238.65068
Summary: 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.
MSC:
65L06Multistep, Runge-Kutta, and extrapolation methods
34A07Fuzzy differential equations
65L05Initial value problems for ODE (numerical methods)
References:
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