Numerical Analysis of Differential Equation with Type-2 Fuzzy Number as Initial Condition

Abstract

The primary intention of this article is to study numerical solutions of differential equation with interval Type- 2 Fuzzy Number (T2FN) as the initial condition. The differential equation is first redrafted in the parametric form; then, it is restructured into three systems of linear differential equations. Each system includes two concurrent linear differential equations with respective initial conditions. The classical 4 th order Runge-Kutta method is developed for the above derived systems. The ability of the method is corroborated by illustrating problems.