Solving Delay Differential Equations by an Accurate Method with Interpolation
We use the reproducing kernel method (RKM) with interpolation for finding approximate solutions of delay differential equations. Interpolation for delay differential equations has not been used by this method till now. The numerical approximation to the exact solution is computed. The comparison of...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/676939 |
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| _version_ | 1832559475783892992 |
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| author | Ali Akgül Adem Kiliçman |
| author_facet | Ali Akgül Adem Kiliçman |
| author_sort | Ali Akgül |
| collection | DOAJ |
| description | We use the reproducing kernel method (RKM) with interpolation for finding approximate solutions of delay differential equations. Interpolation for delay differential equations has not been used by this method till now. The numerical approximation to the exact solution is computed. The comparison of the results with exact ones is made to confirm the validity and efficiency. |
| format | Article |
| id | doaj-art-2bb55f8388d24cf3b409ae9535d9355a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2bb55f8388d24cf3b409ae9535d9355a2025-02-03T01:29:59ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/676939676939Solving Delay Differential Equations by an Accurate Method with InterpolationAli Akgül0Adem Kiliçman1Department of Mathematics, Education Faculty, Dicle University, 21280 Diyarbakır, TurkeyDepartment of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaWe use the reproducing kernel method (RKM) with interpolation for finding approximate solutions of delay differential equations. Interpolation for delay differential equations has not been used by this method till now. The numerical approximation to the exact solution is computed. The comparison of the results with exact ones is made to confirm the validity and efficiency.http://dx.doi.org/10.1155/2015/676939 |
| spellingShingle | Ali Akgül Adem Kiliçman Solving Delay Differential Equations by an Accurate Method with Interpolation Abstract and Applied Analysis |
| title | Solving Delay Differential Equations by an Accurate Method with Interpolation |
| title_full | Solving Delay Differential Equations by an Accurate Method with Interpolation |
| title_fullStr | Solving Delay Differential Equations by an Accurate Method with Interpolation |
| title_full_unstemmed | Solving Delay Differential Equations by an Accurate Method with Interpolation |
| title_short | Solving Delay Differential Equations by an Accurate Method with Interpolation |
| title_sort | solving delay differential equations by an accurate method with interpolation |
| url | http://dx.doi.org/10.1155/2015/676939 |
| work_keys_str_mv | AT aliakgul solvingdelaydifferentialequationsbyanaccuratemethodwithinterpolation AT ademkilicman solvingdelaydifferentialequationsbyanaccuratemethodwithinterpolation |