A Second Order Runge Kutta Method to Solve Fuzzy Differential Equations with Fuzzy Initial Condition

V. Parimala

Abstract: This paper presents solution for first order fuzzy differential equation by Runge Kutta method of order two with new parameters that increase the order of accuracy of the solution. This method is discussed in detail and followed by a complete error analysis. The accuracy and efficiency of the proposed method is illustrated by solving a fuzzy initial value problem with trapezoidal fuzzy number.

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