Numerical solutions of fuzzy differential equations by an efficient Runge–Kutta method with generalized differentiability

Ahmadian, Ali and Salahshour, Soheil and Chan, Chee Seng and Baleanu, Dumitru (2018) Numerical solutions of fuzzy differential equations by an efficient Runge–Kutta method with generalized differentiability. Fuzzy Sets and Systems, 331. pp. 47-67. ISSN 0165-0114

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Official URL: https://doi.org/10.1016/j.fss.2016.11.013

Abstract

In this paper, an extended fourth-order Runge–Kutta method is studied to approximate the solutions of first-order fuzzy differential equations using a generalized characterization theorem. In this method, new parameters are utilized in order to enhance the order of accuracy of the solutions using evaluations of both f and f′, instead of using the evaluations of f only. The proposed extended Runge–Kutta method and its error analysis, which guarantees pointwise convergence, are given in detail. Furthermore, the accuracy and efficiency of the proposed method are demonstrated in a series of numerical experiments.

Item Type: Article
Uncontrolled Keywords: Fuzzy ordinary differential equations; Fuzzy differentiability; Characterization theorem; Error analysis; Runge–Kutta methods
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Computer Science & Information Technology
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 30 Sep 2019 08:29
Last Modified: 30 Sep 2019 08:29
URI: http://eprints.um.edu.my/id/eprint/22630

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