In this article, numerical simulation of fuzzy differential equations using general linear method is proposed. The significance
of general linear method is derivation of algebraic order conditions of method using technique of rooted trees
and B-series. Fuzzy general linear method of order 3 based on the concept of generalized Hukuhara differentiability for
solving fuzzy differential equations is developed. Convergence of third-order fuzzy general linear method is proven. The
proposed method is tested on fuzzy initial value problems, and the numerical results showed that fuzzy general linear
method produced more accurate approximation of fuzzy solution for tested problems compared with the existing fuzzy
numerical methods.
کلید واژگان :
General linear method, B-series, rooted trees, fuzzy differential equations, generalized Hukuhara differentiability
