Numerical Solution of First Order Fuzzy Differential Equations by Simpson’s Rule

The concept of fuzzy versions of Simpson’s rule and Runge-Kutta method of order four are introduced. In this paper, the solution of fuzzy ordinary differential equation of the first order by Simpson’s rule and Runge-Kutta method of order four is presented without converting them to crisp form. The results from these two methods are proved identical by complete error analysis. The accuracy and efficiency of the proposed methods are illustrated by an example with a trapezoidal fuzzy number and triangular fuzzy number.