Piecewise Approximation Method for Nth-order Fuzzy Differential Equations

Abstract

In this paper a numerical method for solving n−order fuzzy differential equations is considered. This method which called piecewise approximation method, is obtained by interpolating a polynomial on fuzzy determined values. The proposed method is compared to Allahviranloo's method in [6], and it is shown that this method in more accurate than Allahviranloo's method. The piecewise approximation method is illustrated by a comparative example.