Runge Kutta Method of Order Two for Second-Order Fuzzy Differential Equation

Abstract

The use of fuzzy initial value problems and related uncertain structures is a natural way to model complex systems under uncertainty. In this paper, we study the numerical method of second order fuzzy linear initial value problem using Runge-Kutta method of order two under Strong Generalized Differentiability with triangular and trapezoidal Fuzzy Numbers. We present two examples to illustrate accuracy and efficiency of the proposed method. Tables and Graphs are presented to shows the solution of the proposed method.