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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...

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Main Authors: Akgul, Ali, Inc, Mustafa, Kilicman, Adem, Baleanu, Dumitru
Format: Article
Language:English
Published: SpringerOpen 2016
Online Access:http://psasir.upm.edu.my/id/eprint/43153/1/43153.pdf
http://psasir.upm.edu.my/id/eprint/43153/
http://link.springer.com/article/10.1186%2Fs13662-015-0734-x
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Akgul, Ali
Inc, Mustafa
Kilicman, Adem
Baleanu, Dumitru
spellingShingle Akgul, Ali
Inc, Mustafa
Kilicman, Adem
Baleanu, Dumitru
A new approach for one-dimensional sine-Gordon equation
author_facet Akgul, Ali
Inc, Mustafa
Kilicman, Adem
Baleanu, Dumitru
author_sort Akgul, Ali
title A new approach for one-dimensional sine-Gordon equation
title_short 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_sort new approach for one-dimensional sine-gordon equation
publisher SpringerOpen
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/43153/1/43153.pdf
http://psasir.upm.edu.my/id/eprint/43153/
http://link.springer.com/article/10.1186%2Fs13662-015-0734-x
_version_ 1643833481762963456
score 13.2014675

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