Numerical simulation of fuzzy differential equations using general linear method and B-series Article Swipe

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Faranak Rabiei , Fatin Abd Hamid , Mohammad Mehdi Rashidi , Fudziah Ismail · YOU? · · 2017 · Open Access · · DOI: https://doi.org/10.1177/1687814017715419

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.

Type

article

Language

en

Landing Page

https://doi.org/10.1177/1687814017715419

PDF

https://journals.sagepub.com/doi/pdf/10.1177/1687814017715419

OA Status

gold

Cited By

6

References

25

Related Works

10

OpenAlex ID

https://openalex.org/W2758342235

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