New Multi-Step Runge-Kutta Method For Solving Fuzzy Differential Equations

Abstract

This paper presents solution for the first order fuzzy differential equation by Runge Kutta method of order two with new parameters which are used in the main formula in order to increase the order of accuracy of the solution. This method is discussed in detail followed by a complete error analysis. The accuracy and efficiency of the proposed method is illustrated by solving a fuzzy initial value problem.

Keywords: Fuzzy differential equations, multi-step Runge-Kutta method, higher order derivative approximations, harmonic mean.