A new approach for one-dimensional sine-Gordon equation
In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with initial and boundary conditions. Numerical experiments are studied to show the efficiency of the technique. The acquired results are compared with the exact solutions and results obtained by different me...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/43153/ http://psasir.upm.edu.my/id/eprint/43153/1/43153.pdf |
| _version_ | 1848850152175960064 |
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| author | Akgul, Ali Inc, Mustafa Kilicman, Adem Baleanu, Dumitru |
| author_facet | Akgul, Ali Inc, Mustafa Kilicman, Adem Baleanu, Dumitru |
| author_sort | Akgul, Ali |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with initial and boundary conditions. Numerical experiments are studied to show the efficiency of the technique. The acquired results are compared with the exact solutions and results obtained by different methods. These results indicate that the reproducing kernel method is very effective. |
| first_indexed | 2025-11-15T10:01:44Z |
| format | Article |
| id | upm-43153 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:01:44Z |
| publishDate | 2016 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-431532016-05-18T02:53:08Z http://psasir.upm.edu.my/id/eprint/43153/ A new approach for one-dimensional sine-Gordon equation Akgul, Ali Inc, Mustafa Kilicman, Adem Baleanu, Dumitru In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with initial and boundary conditions. Numerical experiments are studied to show the efficiency of the technique. The acquired results are compared with the exact solutions and results obtained by different methods. These results indicate that the reproducing kernel method is very effective. SpringerOpen 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/43153/1/43153.pdf Akgul, Ali and Inc, Mustafa and Kilicman, Adem and Baleanu, Dumitru (2016) A new approach for one-dimensional sine-Gordon equation. Advances in Difference Equations, 2016 (1). art. no. 8. pp. 1-20. ISSN 1687-1839; ESSN: 1687-1847 http://link.springer.com/article/10.1186%2Fs13662-015-0734-x 10.1186/s13662-015-0734-x |
| spellingShingle | Akgul, Ali Inc, Mustafa Kilicman, Adem Baleanu, Dumitru A new approach for one-dimensional sine-Gordon equation |
| title | A new approach for one-dimensional sine-Gordon equation |
| title_full | A new approach for one-dimensional sine-Gordon equation |
| title_fullStr | A new approach for one-dimensional sine-Gordon equation |
| title_full_unstemmed | A new approach for one-dimensional sine-Gordon equation |
| title_short | A new approach for one-dimensional sine-Gordon equation |
| title_sort | new approach for one-dimensional sine-gordon equation |
| url | http://psasir.upm.edu.my/id/eprint/43153/ http://psasir.upm.edu.my/id/eprint/43153/ http://psasir.upm.edu.my/id/eprint/43153/ http://psasir.upm.edu.my/id/eprint/43153/1/43153.pdf |