A splitting method for the augmented Burgers equation
In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of first order. We also analyze the large-time behavior of the approximated solution by obtaining the first term in the asymptotic expansion. We prove that, when time increases, these solutions be have...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/713 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/713 |
| Access Level: | acceso abierto |
| Palabra clave: | Nonlocal diffusion Splitting method Large time Asymptotic behavior |
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A splitting method for the augmented Burgers equationIgnat, L.I.Pozo, A.Nonlocal diffusionSplitting methodLarge timeAsymptotic behaviorIn this paper we consider a splitting method for the augmented Burgers equation and prove that it is of first order. We also analyze the large-time behavior of the approximated solution by obtaining the first term in the asymptotic expansion. We prove that, when time increases, these solutions be have as the self-similar solutions of the viscous Burgers equation.201720172017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/713reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://link.springer.com/epdf/10.1007/s10543-017-0673-x?author_access_token=hTWi2RfFRWdJ1ZSlpCxULfe4RwlQNchNByi7wbcMAY57ECxScDSCSfzdy_XUU4A9kCjso1-B4kHJyVJJLGYMmOFcVpb7tGuVCd5hATvszKG5OkwSc5ThUM-JZhoObRvDERDHJujLDXb_xo09ktGEZw%3D%3Dinfo:eu-repo/grantAgreement/MINECO//SEV-2013-0323Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/7132026-06-19T12:47:47Z |
| dc.title.none.fl_str_mv |
A splitting method for the augmented Burgers equation |
| title |
A splitting method for the augmented Burgers equation |
| spellingShingle |
A splitting method for the augmented Burgers equation Ignat, L.I. Nonlocal diffusion Splitting method Large time Asymptotic behavior |
| title_short |
A splitting method for the augmented Burgers equation |
| title_full |
A splitting method for the augmented Burgers equation |
| title_fullStr |
A splitting method for the augmented Burgers equation |
| title_full_unstemmed |
A splitting method for the augmented Burgers equation |
| title_sort |
A splitting method for the augmented Burgers equation |
| dc.creator.none.fl_str_mv |
Ignat, L.I. Pozo, A. |
| author |
Ignat, L.I. |
| author_facet |
Ignat, L.I. Pozo, A. |
| author_role |
author |
| author2 |
Pozo, A. |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Nonlocal diffusion Splitting method Large time Asymptotic behavior |
| topic |
Nonlocal diffusion Splitting method Large time Asymptotic behavior |
| description |
In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of first order. We also analyze the large-time behavior of the approximated solution by obtaining the first term in the asymptotic expansion. We prove that, when time increases, these solutions be have as the self-similar solutions of the viscous Burgers equation. |
| publishDate |
2017 |
| dc.date.none.fl_str_mv |
2017 2017 2017 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/20.500.11824/713 |
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http://hdl.handle.net/20.500.11824/713 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
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https://link.springer.com/epdf/10.1007/s10543-017-0673-x?author_access_token=hTWi2RfFRWdJ1ZSlpCxULfe4RwlQNchNByi7wbcMAY57ECxScDSCSfzdy_XUU4A9kCjso1-B4kHJyVJJLGYMmOFcVpb7tGuVCd5hATvszKG5OkwSc5ThUM-JZhoObRvDERDHJujLDXb_xo09ktGEZw%3D%3D info:eu-repo/grantAgreement/MINECO//SEV-2013-0323 |
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Reconocimiento-NoComercial-CompartirIgual 3.0 España http://creativecommons.org/licenses/by-nc-sa/3.0/es/ info:eu-repo/semantics/openAccess |
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Reconocimiento-NoComercial-CompartirIgual 3.0 España http://creativecommons.org/licenses/by-nc-sa/3.0/es/ |
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openAccess |
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application/pdf |
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reponame:BIRD. BCAM's Institutional Repository Data instname:Basque Center for Applied Mathematics (BCAM) |
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Basque Center for Applied Mathematics (BCAM) |
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BIRD. BCAM's Institutional Repository Data |
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BIRD. BCAM's Institutional Repository Data |
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15.300724 |