Fuzzy Volterra integro-differential equations using general linear method
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 gener...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38417/ http://psasir.upm.edu.my/id/eprint/38417/1/38417.pdf |
| _version_ | 1848848873710157824 |
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| author | Abdul Majid, Zanariah Rabiei, Faranak Abd Hamid, Fatin Nadiah Ismail, Fudziah |
| author_facet | Abdul Majid, Zanariah Rabiei, Faranak Abd Hamid, Fatin Nadiah Ismail, Fudziah |
| author_sort | Abdul Majid, Zanariah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:41:25Z |
| format | Article |
| id | upm-38417 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:41:25Z |
| publishDate | 2019 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-384172020-05-04T16:53:23Z http://psasir.upm.edu.my/id/eprint/38417/ Fuzzy Volterra integro-differential equations using general linear method Abdul Majid, Zanariah Rabiei, Faranak Abd Hamid, Fatin Nadiah Ismail, Fudziah 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. MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38417/1/38417.pdf 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 https://www.mdpi.com/2073-8994/11/3/381 10.3390/sym11030381 |
| spellingShingle | Abdul Majid, Zanariah Rabiei, Faranak Abd Hamid, Fatin Nadiah Ismail, Fudziah Fuzzy Volterra integro-differential equations using general linear method |
| title | Fuzzy Volterra integro-differential equations using general linear method |
| title_full | Fuzzy Volterra integro-differential equations using general linear method |
| title_fullStr | Fuzzy Volterra integro-differential equations using general linear method |
| title_full_unstemmed | Fuzzy Volterra integro-differential equations using general linear method |
| title_short | Fuzzy Volterra integro-differential equations using general linear method |
| title_sort | fuzzy volterra integro-differential equations using general linear method |
| url | http://psasir.upm.edu.my/id/eprint/38417/ http://psasir.upm.edu.my/id/eprint/38417/ http://psasir.upm.edu.my/id/eprint/38417/ http://psasir.upm.edu.my/id/eprint/38417/1/38417.pdf |