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

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′f′, instead of the evaluations of f only.

► We introduce fuzzy Runge–Kutta-like method for numerical solution of FIVPs.► This method reduces the evaluation functions per step.► The result shows that this method has a high accuracy.