A full fuzzy method for solving differential equation based on Taylor expansion

Abstract

In this paper, the fuzzy Taylor expansion is presented based on the concept of generalized Hukuhara differentiability. Using the fuzzy Taylor expansion, the Euler method and its local and global truncation errors are defined for solving fuzzy initial value problems. Moreover, the consistency, convergence and stability of the Euler method are provided in details. Finally, for illustration some numerical examples are solved.

Keywords

Generalized Hukuhara derivative fuzzy Taylor expansion fuzzy Euler method global truncation error local truncation error

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