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Advances in Mechanical Engineering • Vol 9 • No 9
Numerical simulation of fuzzy differential equations using general linear method and B-series
September 2017 • Faranak Rabiei, Fatin Abd Hamid, Mohammad Mehdi Rashidi, Fudziah Ismail
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 init…
Mathematics
Numerical Analysis
Mathematical Analysis
Computer Science
Artificial Intelligence