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Fuzzy Volterra integro-differential equations using general linear method


Citation

Abdul Majid, Zanariah and Rabiei, Faranak and Abd Hamid, Fatin Nadiah and Ismail, Fudziah (2019) Fuzzy Volterra integro-differential equations using general linear method. Symmetry, 11 (3). art. no. 381. pp. 1-18. ISSN 2073-8994

Abstract

In this paper, a fuzzy general linear method of order three for solving fuzzy Volterra integro-differential equations of second kind is proposed. The general linear method is operated using the both internal stages of Runge-Kutta method and multivalues of a multisteps method. The derivation of general linear method is based on the theory of B-series and rooted trees. Here, the fuzzy general linear method using the approach of generalized Hukuhara differentiability and combination of composite Simpson’s rules together with Lagrange interpolation polynomial is constructed for numerical solution of fuzzy volterra integro-differential equations. To illustrate the performance of the method, the numerical results are compared with some existing numerical methods.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.3390/sym11030381
Publisher: MDPI
Keywords: Fuzzy Volterra integro-differential equations; Fuzzy general linear method; Fuzzy differential equations; Generalized Hukuhara differentiability
Depositing User: Nabilah Mustapa
Date Deposited: 04 May 2020 16:53
Last Modified: 04 May 2020 16:53
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym11030381
URI: http://psasir.upm.edu.my/id/eprint/38417
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