Abstract
In this present paper, extended Milne–Simpson rule is applied to find the fuzzy solutions of first order fuzzy differential equations (FDEs) under generalized Hukuhara differentiability concept. Based on the work done by Chalco-Cano we show how FDEs can be transformed to a system of ordinary differential equations. Then to find the solutions of fuzzy initial value problems (FIVPs), the Milne–Simpson formula is generalized. The errors, which guarantee pointwise convergence, are compared with other established methods which clearly show the advantage of our method for solving FIVPs.
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