An analysis of two dimensional integral equations of the second kind
In this article, a numerical method is used to solve the two dimensional<br />Fredholm integral equation of the second kind with weak singular kernel using the Toeplitz matrix and product Nystrom method. The numerical results given in this paper are computed using maple 8. The error, in each c...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2007-12-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/11 |
| _version_ | 1811322264558239744 |
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| author | M. M. El-Borai M. A. Abdou M. Basseem |
| author_facet | M. M. El-Borai M. A. Abdou M. Basseem |
| author_sort | M. M. El-Borai |
| collection | DOAJ |
| description | In this article, a numerical method is used to solve the two dimensional<br />Fredholm integral equation of the second kind with weak singular kernel using the Toeplitz matrix and product Nystrom method. The numerical results given in this paper are computed using maple 8. The error, in each case, is computed.<br /> |
| first_indexed | 2024-04-13T13:32:09Z |
| format | Article |
| id | doaj.art-fff43be80da24c63a9ebd64b3623c277 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-04-13T13:32:09Z |
| publishDate | 2007-12-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-fff43be80da24c63a9ebd64b3623c2772022-12-22T02:44:55ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982007-12-0162115399An analysis of two dimensional integral equations of the second kindM. M. El-Borai0M. A. Abdou1M. BasseemAlexandria UniversityAlexandria UniversityIn this article, a numerical method is used to solve the two dimensional<br />Fredholm integral equation of the second kind with weak singular kernel using the Toeplitz matrix and product Nystrom method. The numerical results given in this paper are computed using maple 8. The error, in each case, is computed.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/11Toeplitz matrixNystrom methodLogarithmic kernelCarleman kernellinear algebraic system |
| spellingShingle | M. M. El-Borai M. A. Abdou M. Basseem An analysis of two dimensional integral equations of the second kind Le Matematiche Toeplitz matrix Nystrom method Logarithmic kernel Carleman kernel linear algebraic system |
| title | An analysis of two dimensional integral equations of the second kind |
| title_full | An analysis of two dimensional integral equations of the second kind |
| title_fullStr | An analysis of two dimensional integral equations of the second kind |
| title_full_unstemmed | An analysis of two dimensional integral equations of the second kind |
| title_short | An analysis of two dimensional integral equations of the second kind |
| title_sort | analysis of two dimensional integral equations of the second kind |
| topic | Toeplitz matrix Nystrom method Logarithmic kernel Carleman kernel linear algebraic system |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/11 |
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