New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations
In this paper, recently developed perturbation iteration method is used to solve Fredholm and Volterra integral equations. The study shows that the new method can be applied to both types of integral equations. Some numerical examples are given, and results are compared with other studies to illustr...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/682537 |
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| _version_ | 1832550201605226496 |
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| author | İhsan Timuçin Dolapçı Mehmet Şenol Mehmet Pakdemirli |
| author_facet | İhsan Timuçin Dolapçı Mehmet Şenol Mehmet Pakdemirli |
| author_sort | İhsan Timuçin Dolapçı |
| collection | DOAJ |
| description | In this paper, recently developed perturbation iteration method is used to solve Fredholm and Volterra integral equations. The study shows that the new method can be applied to both types of integral equations. Some numerical examples are given, and results are compared with other studies to illustrate the efficiency of the method. |
| format | Article |
| id | doaj-art-330085db62044a2bbbed56930224fbf7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-330085db62044a2bbbed56930224fbf72025-02-03T06:07:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/682537682537New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equationsİhsan Timuçin Dolapçı0Mehmet Şenol1Mehmet Pakdemirli2Department of Mechanical Engineering, Celal Bayar University, Muradiye, 45140 Manisa, TurkeyDepartment of Mathematics, Faculty of Science, Nevşehir University, 50300 Nevşehir, TurkeyDepartment of Mechanical Engineering, Celal Bayar University, Muradiye, 45140 Manisa, TurkeyIn this paper, recently developed perturbation iteration method is used to solve Fredholm and Volterra integral equations. The study shows that the new method can be applied to both types of integral equations. Some numerical examples are given, and results are compared with other studies to illustrate the efficiency of the method.http://dx.doi.org/10.1155/2013/682537 |
| spellingShingle | İhsan Timuçin Dolapçı Mehmet Şenol Mehmet Pakdemirli New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations Journal of Applied Mathematics |
| title | New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations |
| title_full | New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations |
| title_fullStr | New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations |
| title_full_unstemmed | New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations |
| title_short | New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations |
| title_sort | new perturbation iteration solutions for fredholm and volterra integral equations |
| url | http://dx.doi.org/10.1155/2013/682537 |
| work_keys_str_mv | AT ihsantimucindolapcı newperturbationiterationsolutionsforfredholmandvolterraintegralequations AT mehmetsenol newperturbationiterationsolutionsforfredholmandvolterraintegralequations AT mehmetpakdemirli newperturbationiterationsolutionsforfredholmandvolterraintegralequations |