Iterative Method for the Solution of Fredholm Integral Equations of the 2nd kinds via Matrices
It was given a matrix iterative algorithm to solve the approximate equations Fredholm integral of the second kind. Modify the algorithm ideas of iterated kernels through a matrix of Hilbert. Thus, some numerical examples are observed results while reducing solution, given the procedure to replace th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Stefan cel Mare University of Suceava
2021-04-01
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| Series: | Journal of Applied Computer Science & Mathematics |
| Subjects: | |
| Online Access: | https://jacsm.ro/view/?pid=31_4 |
| _version_ | 1818008673638678528 |
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| author | Hela Shawkat AHMED Sizar Abid MOHAMMED |
| author_facet | Hela Shawkat AHMED Sizar Abid MOHAMMED |
| author_sort | Hela Shawkat AHMED |
| collection | DOAJ |
| description | It was given a matrix iterative algorithm to solve the approximate equations Fredholm integral of the second kind. Modify the algorithm ideas of iterated kernels through a matrix of Hilbert. Thus, some numerical examples are observed results while reducing solution, given the procedure to replace the kernel technology given to the equation almost an integrated nucleus of a degraded kernel in a matrix form, and then to create a repeating sequence of iterative solutions. |
| first_indexed | 2024-04-14T05:32:23Z |
| format | Article |
| id | doaj.art-e5041cc66a3b4eec956a90a826f24cd1 |
| institution | Directory Open Access Journal |
| issn | 2066-4273 2066-3129 |
| language | English |
| last_indexed | 2024-04-14T05:32:23Z |
| publishDate | 2021-04-01 |
| publisher | Stefan cel Mare University of Suceava |
| record_format | Article |
| series | Journal of Applied Computer Science & Mathematics |
| spelling | doaj.art-e5041cc66a3b4eec956a90a826f24cd12022-12-22T02:09:45ZengStefan cel Mare University of SuceavaJournal of Applied Computer Science & Mathematics2066-42732066-31292021-04-011512629https://doi.org/10.4316/JACSM.202101004Iterative Method for the Solution of Fredholm Integral Equations of the 2nd kinds via MatricesHela Shawkat AHMED0Sizar Abid MOHAMMED1Department of Mathematics, college of Basic Education University of Duhok-IraqDepartment of Mathematics, college of Basic Education University of Duhok-IraqIt was given a matrix iterative algorithm to solve the approximate equations Fredholm integral of the second kind. Modify the algorithm ideas of iterated kernels through a matrix of Hilbert. Thus, some numerical examples are observed results while reducing solution, given the procedure to replace the kernel technology given to the equation almost an integrated nucleus of a degraded kernel in a matrix form, and then to create a repeating sequence of iterative solutions.https://jacsm.ro/view/?pid=31_4integral equationsiterative methodsapproximate solutionsmatrix treatment |
| spellingShingle | Hela Shawkat AHMED Sizar Abid MOHAMMED Iterative Method for the Solution of Fredholm Integral Equations of the 2nd kinds via Matrices Journal of Applied Computer Science & Mathematics integral equations iterative methods approximate solutions matrix treatment |
| title | Iterative Method for the Solution of Fredholm Integral Equations of the 2nd kinds via Matrices |
| title_full | Iterative Method for the Solution of Fredholm Integral Equations of the 2nd kinds via Matrices |
| title_fullStr | Iterative Method for the Solution of Fredholm Integral Equations of the 2nd kinds via Matrices |
| title_full_unstemmed | Iterative Method for the Solution of Fredholm Integral Equations of the 2nd kinds via Matrices |
| title_short | Iterative Method for the Solution of Fredholm Integral Equations of the 2nd kinds via Matrices |
| title_sort | iterative method for the solution of fredholm integral equations of the 2nd kinds via matrices |
| topic | integral equations iterative methods approximate solutions matrix treatment |
| url | https://jacsm.ro/view/?pid=31_4 |
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