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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30125/ http://psasir.upm.edu.my/id/eprint/30125/1/A%20novel%20method%20for%20solving%20KdV%20equation%20based%20on%20reproducing%20kernel%20hilbert%20space%20method.pdf |
| _version_ | 1848846589594959872 |
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| author | Inc, Mustafa Akgul, Ali Kilicman, Adem |
| author_facet | Inc, Mustafa Akgul, Ali Kilicman, Adem |
| author_sort | Inc, Mustafa |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T09:05:07Z |
| format | Article |
| id | upm-30125 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T09:05:07Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-301252015-09-22T03:50:02Z http://psasir.upm.edu.my/id/eprint/30125/ A novel method for solving KdV equation based on reproducing kernel hilbert space method Inc, Mustafa Akgul, Ali Kilicman, Adem 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. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30125/1/A%20novel%20method%20for%20solving%20KdV%20equation%20based%20on%20reproducing%20kernel%20hilbert%20space%20method.pdf Inc, Mustafa and Akgul, Ali and Kilicman, Adem (2013) A novel method for solving KdV equation based on reproducing kernel hilbert space method. Abstract and Applied Analysis, 2013. art. no. 578942. pp. 1-11. ISSN 1085-3375; ESSN: 1687-0409 http://www.hindawi.com/journals/aaa/2013/578942/ 10.1155/2013/578942 English |
| spellingShingle | Inc, Mustafa Akgul, Ali Kilicman, Adem A novel method for solving KdV equation based on reproducing kernel hilbert space method |
| 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://psasir.upm.edu.my/id/eprint/30125/ http://psasir.upm.edu.my/id/eprint/30125/ http://psasir.upm.edu.my/id/eprint/30125/ http://psasir.upm.edu.my/id/eprint/30125/1/A%20novel%20method%20for%20solving%20KdV%20equation%20based%20on%20reproducing%20kernel%20hilbert%20space%20method.pdf |