A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method
We propose a reproducing kernel method for solving the KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space. Some numerical examples have also been studied to demonstrate the accura...
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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: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/578942 |
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| _version_ | 1832563344122314752 |
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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 KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space. Some numerical examples have also been studied to demonstrate the accuracy of the present method. Results of numerical examples show that the presented method is effective. |
| format | Article |
| id | doaj-art-250c3a912b3544a2a0e8914a204c309d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-250c3a912b3544a2a0e8914a204c309d2025-02-03T01:20:24ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/578942578942A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space MethodMustafa Inc0Ali Akgül1Adem Kiliçman2Department of Mathematics, Science Faculty, Firat University, 23119 Elaziğ, TurkeyDepartment of Mathematics, Education Faculty, Dicle University, 21280 Diyarbakır, TurkeyDepartment of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), Selangor, 43400 Serdang, MalaysiaWe propose a reproducing kernel method for solving the KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space. Some numerical examples have also been studied to demonstrate the accuracy of the present method. Results of numerical examples show that the presented method is effective.http://dx.doi.org/10.1155/2013/578942 |
| spellingShingle | Mustafa Inc Ali Akgül Adem Kiliçman A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method Abstract and Applied Analysis |
| title | A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method |
| title_full | A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method |
| title_fullStr | A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method |
| title_full_unstemmed | A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method |
| title_short | A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method |
| title_sort | novel method for solving kdv equation based on reproducing kernel hilbert space method |
| url | http://dx.doi.org/10.1155/2013/578942 |
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