Analysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equation
We study convergence of the semidiscrete and fully discrete formulations of a Fourier- Galerkin numerical scheme to approximate solutions of a nonlinear Benney-Luke-Paumond equation that models long water waves with small amplitude propagating over a shallow channel with at bottom. The accuracy of t...
- Autores:
-
Muñoz Grajales, Juan Carlos
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2015
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66458
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66458
http://bdigital.unal.edu.co/67486/
- Palabra clave:
- 51 Matemáticas / Mathematics
Solitary waves
water waves
spectral methods
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Muñoz Grajales, Juan Carlosf91eaa8a-39f3-435b-b854-3e3cdd13bc8b3002019-07-03T02:09:58Z2019-07-03T02:09:58Z2015-07-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66458http://bdigital.unal.edu.co/67486/We study convergence of the semidiscrete and fully discrete formulations of a Fourier- Galerkin numerical scheme to approximate solutions of a nonlinear Benney-Luke-Paumond equation that models long water waves with small amplitude propagating over a shallow channel with at bottom. The accuracy of the numerical solver is checked using some exact solitary wave solutions. In order to apply the Fourier-spectral scheme in a non periodic setting, we approximate the initial value problem with x ∈ R by the corresponding periodic Cauchy problem for x ∈ [0, L], with a large spatial period L.We study convergence of the semidiscrete and fully discrete formulations of a Fourier-Galerkin numerical scheme to approximate solutions of a nonlinear Benney-Luke-Paumond equation that models long water waves with small amplitude propagating over a shallow channel with at bottom. The accuracy of the numerical solver is checked using some exact solitary wave solutions. In order to apply the Fourier-spectral scheme in a non periodic setting, we approximate the initial value problem with x ∈ R by the corresponding periodic Cauchy problem for x ∈ [0, L], with a large spatial period L.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/60440Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasMuñoz Grajales, Juan Carlos (2015) Analysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equation. Revista Colombiana de Matemáticas, 49 (2). pp. 213-234. ISSN 2357-410051 Matemáticas / MathematicsSolitary waveswater wavesspectral methodsAnalysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equationArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL60440-307370-1-PB.pdfapplication/pdf489465https://repositorio.unal.edu.co/bitstream/unal/66458/1/60440-307370-1-PB.pdfaf70a6acdaea2d45243e525349985b05MD51THUMBNAIL60440-307370-1-PB.pdf.jpg60440-307370-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5026https://repositorio.unal.edu.co/bitstream/unal/66458/2/60440-307370-1-PB.pdf.jpgd8993577729fac32e329cf5e5a0dae0bMD52unal/66458oai:repositorio.unal.edu.co:unal/664582023-05-25 23:02:46.909Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
dc.title.spa.fl_str_mv |
Analysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equation |
title |
Analysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equation |
spellingShingle |
Analysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equation 51 Matemáticas / Mathematics Solitary waves water waves spectral methods |
title_short |
Analysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equation |
title_full |
Analysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equation |
title_fullStr |
Analysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equation |
title_full_unstemmed |
Analysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equation |
title_sort |
Analysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equation |
dc.creator.fl_str_mv |
Muñoz Grajales, Juan Carlos |
dc.contributor.author.spa.fl_str_mv |
Muñoz Grajales, Juan Carlos |
dc.subject.ddc.spa.fl_str_mv |
51 Matemáticas / Mathematics |
topic |
51 Matemáticas / Mathematics Solitary waves water waves spectral methods |
dc.subject.proposal.spa.fl_str_mv |
Solitary waves water waves spectral methods |
description |
We study convergence of the semidiscrete and fully discrete formulations of a Fourier- Galerkin numerical scheme to approximate solutions of a nonlinear Benney-Luke-Paumond equation that models long water waves with small amplitude propagating over a shallow channel with at bottom. The accuracy of the numerical solver is checked using some exact solitary wave solutions. In order to apply the Fourier-spectral scheme in a non periodic setting, we approximate the initial value problem with x ∈ R by the corresponding periodic Cauchy problem for x ∈ [0, L], with a large spatial period L. |
publishDate |
2015 |
dc.date.issued.spa.fl_str_mv |
2015-07-01 |
dc.date.accessioned.spa.fl_str_mv |
2019-07-03T02:09:58Z |
dc.date.available.spa.fl_str_mv |
2019-07-03T02:09:58Z |
dc.type.spa.fl_str_mv |
Artículo de revista |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
dc.type.coarversion.spa.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.content.spa.fl_str_mv |
Text |
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http://purl.org/redcol/resource_type/ART |
format |
http://purl.org/coar/resource_type/c_6501 |
status_str |
publishedVersion |
dc.identifier.issn.spa.fl_str_mv |
ISSN: 2357-4100 |
dc.identifier.uri.none.fl_str_mv |
https://repositorio.unal.edu.co/handle/unal/66458 |
dc.identifier.eprints.spa.fl_str_mv |
http://bdigital.unal.edu.co/67486/ |
identifier_str_mv |
ISSN: 2357-4100 |
url |
https://repositorio.unal.edu.co/handle/unal/66458 http://bdigital.unal.edu.co/67486/ |
dc.language.iso.spa.fl_str_mv |
spa |
language |
spa |
dc.relation.spa.fl_str_mv |
https://revistas.unal.edu.co/index.php/recolma/article/view/60440 |
dc.relation.ispartof.spa.fl_str_mv |
Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
dc.relation.references.spa.fl_str_mv |
Muñoz Grajales, Juan Carlos (2015) Analysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equation. Revista Colombiana de Matemáticas, 49 (2). pp. 213-234. ISSN 2357-4100 |
dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
dc.rights.license.spa.fl_str_mv |
Atribución-NoComercial 4.0 Internacional |
dc.rights.uri.spa.fl_str_mv |
http://creativecommons.org/licenses/by-nc/4.0/ |
dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
eu_rights_str_mv |
openAccess |
dc.format.mimetype.spa.fl_str_mv |
application/pdf |
dc.publisher.spa.fl_str_mv |
Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas |
institution |
Universidad Nacional de Colombia |
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