Numerical solution of two-dimensional fuzzy Fredholm integral equations of the second kind using triangular functions
The main purpose of this paper is to approximate the solution of linear two-dimensional fuzzy Fredholm integral equations of the second kind (2D-FFIE-2). We use fuzzy two-dimensional triangular functions (2D-TFs) to reduce the 2D–FFIE–2 to a system of linear Fredholm integral equations of the second...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2015-06-01
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| Series: | Beni-Suef University Journal of Basic and Applied Sciences |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2314853515000244 |
| _version_ | 1818116405039464448 |
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| author | Farshid Mirzaee Mohammad Komak Yari Elham Hadadiyan |
| author_facet | Farshid Mirzaee Mohammad Komak Yari Elham Hadadiyan |
| author_sort | Farshid Mirzaee |
| collection | DOAJ |
| description | The main purpose of this paper is to approximate the solution of linear two-dimensional fuzzy Fredholm integral equations of the second kind (2D-FFIE-2). We use fuzzy two-dimensional triangular functions (2D-TFs) to reduce the 2D–FFIE–2 to a system of linear Fredholm integral equations of the second kind with three variables in crisp. More over, we prove the convergence of the method. Finally we illustrate this method with some numerical examples to demonstrate the validity and applicability of the technique. |
| first_indexed | 2024-12-11T04:21:59Z |
| format | Article |
| id | doaj.art-f574802e87214b31a0b39bec9a433dc6 |
| institution | Directory Open Access Journal |
| issn | 2314-8535 |
| language | English |
| last_indexed | 2024-12-11T04:21:59Z |
| publishDate | 2015-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Beni-Suef University Journal of Basic and Applied Sciences |
| spelling | doaj.art-f574802e87214b31a0b39bec9a433dc62022-12-22T01:21:06ZengSpringerOpenBeni-Suef University Journal of Basic and Applied Sciences2314-85352015-06-014210911810.1016/j.bjbas.2015.05.003Numerical solution of two-dimensional fuzzy Fredholm integral equations of the second kind using triangular functionsFarshid MirzaeeMohammad Komak YariElham HadadiyanThe main purpose of this paper is to approximate the solution of linear two-dimensional fuzzy Fredholm integral equations of the second kind (2D-FFIE-2). We use fuzzy two-dimensional triangular functions (2D-TFs) to reduce the 2D–FFIE–2 to a system of linear Fredholm integral equations of the second kind with three variables in crisp. More over, we prove the convergence of the method. Finally we illustrate this method with some numerical examples to demonstrate the validity and applicability of the technique.http://www.sciencedirect.com/science/article/pii/S2314853515000244Fuzzy numberTwo-dimensional fuzzy Fredholm integral equationsTwo-dimensional orthogonal triangular functions |
| spellingShingle | Farshid Mirzaee Mohammad Komak Yari Elham Hadadiyan Numerical solution of two-dimensional fuzzy Fredholm integral equations of the second kind using triangular functions Beni-Suef University Journal of Basic and Applied Sciences Fuzzy number Two-dimensional fuzzy Fredholm integral equations Two-dimensional orthogonal triangular functions |
| title | Numerical solution of two-dimensional fuzzy Fredholm integral equations of the second kind using triangular functions |
| title_full | Numerical solution of two-dimensional fuzzy Fredholm integral equations of the second kind using triangular functions |
| title_fullStr | Numerical solution of two-dimensional fuzzy Fredholm integral equations of the second kind using triangular functions |
| title_full_unstemmed | Numerical solution of two-dimensional fuzzy Fredholm integral equations of the second kind using triangular functions |
| title_short | Numerical solution of two-dimensional fuzzy Fredholm integral equations of the second kind using triangular functions |
| title_sort | numerical solution of two dimensional fuzzy fredholm integral equations of the second kind using triangular functions |
| topic | Fuzzy number Two-dimensional fuzzy Fredholm integral equations Two-dimensional orthogonal triangular functions |
| url | http://www.sciencedirect.com/science/article/pii/S2314853515000244 |
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