Numerical Solution of First-Order Linear Differential Equations in Fuzzy Environment by Runge-Kutta-Fehlberg Method and Its Application

Abstract

The numerical algorithm for solving "first-order linear differential equation in fuzzy environment" is discussed. A scheme, namely, "Runge-Kutta-Fehlberg method," is described in detail for solving the said differential equation. The numerical solutions are compared with (i)-gH and (ii)-gH differential (exact solutions concepts) system. The method is also followed by complete error analysis. The method is illustrated by solving an example and an application.