Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments
Laguerre collocation method is applied for solving a class of the Fredholm integro-differential equations with functional arguments. This method transforms the considered problem to a matrix equation which corresponds to a system of linear algebraic equations. The reliability and efficiency of the p...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/682398 |
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| _version_ | 1832552210192400384 |
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| author | Burcu Gürbüz Mehmet Sezer Coşkun Güler |
| author_facet | Burcu Gürbüz Mehmet Sezer Coşkun Güler |
| author_sort | Burcu Gürbüz |
| collection | DOAJ |
| description | Laguerre collocation method is applied for solving a class of the Fredholm integro-differential equations with functional arguments. This method transforms the considered problem to a matrix equation which corresponds to a system of linear algebraic equations. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments. Also, the approximate solutions are corrected by using the residual correction method. |
| format | Article |
| id | doaj-art-22b627228b694126946b040f6341b236 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-22b627228b694126946b040f6341b2362025-02-03T05:59:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/682398682398Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional ArgumentsBurcu Gürbüz0Mehmet Sezer1Coşkun Güler2Department of Mathematics, Faculty of Science, Celal Bayar University, 45140 Manisa, TurkeyDepartment of Mathematics, Faculty of Science, Celal Bayar University, 45140 Manisa, TurkeyDepartment of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yıldız Technical University, 34220 İstanbul, TurkeyLaguerre collocation method is applied for solving a class of the Fredholm integro-differential equations with functional arguments. This method transforms the considered problem to a matrix equation which corresponds to a system of linear algebraic equations. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments. Also, the approximate solutions are corrected by using the residual correction method.http://dx.doi.org/10.1155/2014/682398 |
| spellingShingle | Burcu Gürbüz Mehmet Sezer Coşkun Güler Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments Journal of Applied Mathematics |
| title | Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments |
| title_full | Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments |
| title_fullStr | Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments |
| title_full_unstemmed | Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments |
| title_short | Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments |
| title_sort | laguerre collocation method for solving fredholm integro differential equations with functional arguments |
| url | http://dx.doi.org/10.1155/2014/682398 |
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