Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method
We propose a reproducing kernel method for solving the telegraph equation with initial conditions based on the reproducing kernel theory. The exact solution is represented in the form of series, and some numerical examples have been studied in order to demonstrate the validity and applicability of t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/984682 |
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| _version_ | 1832559234132213760 |
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| author | Mustafa Inc Ali Akgül Adem Kiliçman |
| author_facet | Mustafa Inc Ali Akgül Adem Kiliçman |
| author_sort | Mustafa Inc |
| collection | DOAJ |
| description | We propose a reproducing kernel method for solving the telegraph equation with initial conditions based on the reproducing kernel theory. The exact solution is represented in the form of series, and some numerical examples have been studied in order to demonstrate the validity and applicability of the technique. The method shows that the implement seems easy and produces accurate results. |
| format | Article |
| id | doaj-art-ac62a30bc163459b8ce2ee6e6b4f9bb3 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-ac62a30bc163459b8ce2ee6e6b4f9bb32025-02-03T01:30:38ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/984682984682Explicit Solution of Telegraph Equation Based on Reproducing Kernel MethodMustafa Inc0Ali Akgül1Adem Kiliçman2Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, TurkeyDepartment of Mathematics, Education Faculty, Dicle University, 21280 Diyarbakir, TurkeyDepartment of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Selangor, MalaysiaWe propose a reproducing kernel method for solving the telegraph equation with initial conditions based on the reproducing kernel theory. The exact solution is represented in the form of series, and some numerical examples have been studied in order to demonstrate the validity and applicability of the technique. The method shows that the implement seems easy and produces accurate results.http://dx.doi.org/10.1155/2012/984682 |
| spellingShingle | Mustafa Inc Ali Akgül Adem Kiliçman Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method Journal of Function Spaces and Applications |
| title | Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method |
| title_full | Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method |
| title_fullStr | Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method |
| title_full_unstemmed | Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method |
| title_short | Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method |
| title_sort | explicit solution of telegraph equation based on reproducing kernel method |
| url | http://dx.doi.org/10.1155/2012/984682 |
| work_keys_str_mv | AT mustafainc explicitsolutionoftelegraphequationbasedonreproducingkernelmethod AT aliakgul explicitsolutionoftelegraphequationbasedonreproducingkernelmethod AT ademkilicman explicitsolutionoftelegraphequationbasedonreproducingkernelmethod |