Numerical method for solving fuzzy differential equations based on Taylor expansion

doi:10.3969/j.issn.1000-1565.2018.02.001

Abstract

Abstract: Fuzzy differential equation driven by Liu process is an important tool to deal with dynamic fuzzy problem. When solving fuzzy differential equation,the analytical solution for some fuzzy differential equation driven by Liu process can’t be obtained sometimes,thus it is necessary for us to discuss the numerical method in most situations.In this paper,a numerical method for solving fuzzy differential equation based on fuzzy Taylor expansion is given and its convergence is also proved.

Key words: Liu process, fuzzy differential, fuzzy integral, fuzzy differential equation, Taylor expansion

CLC Number:

O159

YOU Cuilian, HAO Yangyang. Numerical method for solving fuzzy differential equations based on Taylor expansion[J]. Journal of Hebei University (Natural Science Edition), 2018, 38(2): 113-118.

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