Triangular functions method for the solution of Fredholm integral equations system
A numerical method based on orthogonal triangular functions (TFs) is proposed to approximate the solution of Fredholm integral equations systems. The powerful properties of orthogonal triangular functions are utilized in a direct method to reduce a system of Fredholm integral equations to a system o...
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| Format: | Article |
| Language: | English |
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Elsevier
2012-12-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447912000330 |
| _version_ | 1819139678936236032 |
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| author | H. Almasieh M. Roodaki |
| author_facet | H. Almasieh M. Roodaki |
| author_sort | H. Almasieh |
| collection | DOAJ |
| description | A numerical method based on orthogonal triangular functions (TFs) is proposed to approximate the solution of Fredholm integral equations systems. The powerful properties of orthogonal triangular functions are utilized in a direct method to reduce a system of Fredholm integral equations to a system of mere algebraic equations. The proposed method does not need any integration for obtaining the constant coefficients hence, it can be applied in a simple and fast technique. Convergence analysis and associated theorems are considered. Some numerical examples illustrate the accuracy and computational efficiency of the proposed method. |
| first_indexed | 2024-12-22T11:26:29Z |
| format | Article |
| id | doaj.art-43d72a2b53a34e4f90ac5fd5d5c72a83 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-12-22T11:26:29Z |
| publishDate | 2012-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-43d72a2b53a34e4f90ac5fd5d5c72a832022-12-21T18:27:45ZengElsevierAin Shams Engineering Journal2090-44792012-12-013441141610.1016/j.asej.2012.04.006Triangular functions method for the solution of Fredholm integral equations systemH. Almasieh0M. Roodaki1Department of Mathematics, Khorasgan(Isfahan) Branch, Islamic Azad University, Isfahan, IranDepartment of Mathematics, Marvdasht Branch, Islamic Azad University, Marvdasht, IranA numerical method based on orthogonal triangular functions (TFs) is proposed to approximate the solution of Fredholm integral equations systems. The powerful properties of orthogonal triangular functions are utilized in a direct method to reduce a system of Fredholm integral equations to a system of mere algebraic equations. The proposed method does not need any integration for obtaining the constant coefficients hence, it can be applied in a simple and fast technique. Convergence analysis and associated theorems are considered. Some numerical examples illustrate the accuracy and computational efficiency of the proposed method.http://www.sciencedirect.com/science/article/pii/S2090447912000330Algebraic equationsDirect methodSystems of Fredholm integral equationsTriangular orthogonal functions |
| spellingShingle | H. Almasieh M. Roodaki Triangular functions method for the solution of Fredholm integral equations system Ain Shams Engineering Journal Algebraic equations Direct method Systems of Fredholm integral equations Triangular orthogonal functions |
| title | Triangular functions method for the solution of Fredholm integral equations system |
| title_full | Triangular functions method for the solution of Fredholm integral equations system |
| title_fullStr | Triangular functions method for the solution of Fredholm integral equations system |
| title_full_unstemmed | Triangular functions method for the solution of Fredholm integral equations system |
| title_short | Triangular functions method for the solution of Fredholm integral equations system |
| title_sort | triangular functions method for the solution of fredholm integral equations system |
| topic | Algebraic equations Direct method Systems of Fredholm integral equations Triangular orthogonal functions |
| url | http://www.sciencedirect.com/science/article/pii/S2090447912000330 |
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