Numerical Solution of Fuzzy Differential Equation by Runge-Kutta Method

Abstract

In this paper numerical algorithms for solving 'fuzzy ordinary differential equations' based on Sikkala's derivative of fuzzy process [9], are considered. A numerical method based on the Runge-Kutta method of order 4 in detail is discussed and this is followed by a complete error analysis. The algorithm is illustrated by solving some linear and nonlinear fuzzy Cauchy problems.