The Shooting Method for Solving Second Order Fuzzy Two-Point Boundary Value Problems

Abstract

We consider the fuzzy two-point boundary value problem (FBVP) subject to some fuzzy boundary conditions on an interval [a, b]. Numerically, we start by transforming the two-point boundary value problem into a system of fuzzy initial value problems (FIVP). To solve the resulting system, we use an improved s−stage Runge-Kutta Nystrom 4th order method adopted to handle fuzzy problems. Numerical results will be presented to give the numerical details and to show the efficiency of the method.

Numerical Investigation of Fuzzy Predator-Prey Model with a Functional Response of the Form Arctan(ax)

“…This gives rise to fuzzy differential equations and many authors defined fuzzy differential equations with a derivative based on Hukuhara derivative and its generalizations, see [1,2,4,8,9]. In addition, several numerical methods were developed to solve fuzzy initial and boundary value problems, see [10][11][12][13][14][15].…”