Discrete model of a nonlocal diffusion equation

In this work we prove the existence and uniqueness of solutions as well as the validation of a comparison principle for a discrete model associated to a nonlocal diffusion problem with Neumann conditions. We show that the solutions for the discrete model converge to the solutions of the continuous m...

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Autores:
Bogoya, Mauricio
Gómez S., César A.
Tipo de recurso:
Article of journal
Fecha de publicación:
2013
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/49336
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/49336
http://bdigital.unal.edu.co/42793/
Palabra clave:
Difusión no local
condiciones de Neumann
discretización
convergencia
Nonlocal Diffusion
Neumann Boundary Conditions
Discretizations
Convergence
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling 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_abf2Bogoya, Mauricio3b270000-972d-4e47-b934-773292df6b8e300Gómez S., César A.23240b63-a472-4ba9-b7ea-571b83bea9073002019-06-29T08:36:12Z2019-06-29T08:36:12Z2013https://repositorio.unal.edu.co/handle/unal/49336http://bdigital.unal.edu.co/42793/In this work we prove the existence and uniqueness of solutions as well as the validation of a comparison principle for a discrete model associated to a nonlocal diffusion problem with Neumann conditions. We show that the solutions for the discrete model converge to the solutions of the continuous model when the mesh parameter goes to zero. Finally, we perform some numerical experiments.En este trabajo, probamos existencia y unicidad de soluciones, así como la validez de un principio de comparación para un modelo discreto asociado a un problema de difusión no local con condición de Neumann. Demostramos que las soluciones del modelo discreto convergen a las soluciones del modelo continuo cuando el parámetro de la malla va a cero. Finalmente mostramos algunos experimentos numéricos.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/45171Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 47, núm. 1 (2013); 83-94 2357-4100 0034-7426Bogoya, Mauricio and Gómez S., César A. (2013) Discrete model of a nonlocal diffusion equation. Revista Colombiana de Matemáticas; Vol. 47, núm. 1 (2013); 83-94 2357-4100 0034-7426 .Discrete model of a nonlocal diffusion 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/ARTDifusión no localcondiciones de NeumanndiscretizaciónconvergenciaNonlocal DiffusionNeumann Boundary ConditionsDiscretizationsConvergenceORIGINAL45171-216829-2-PB.htmltext/html4901https://repositorio.unal.edu.co/bitstream/unal/49336/1/45171-216829-2-PB.htmlc678c04df9bb6f051eae2be18a03060cMD5145171-216819-1-SM.pdfapplication/pdf874854https://repositorio.unal.edu.co/bitstream/unal/49336/2/45171-216819-1-SM.pdf640fc5e4bd440edb5ff4635ea32eccc5MD52THUMBNAIL45171-216819-1-SM.pdf.jpg45171-216819-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg4824https://repositorio.unal.edu.co/bitstream/unal/49336/3/45171-216819-1-SM.pdf.jpg72d6a02247d1320983b7838cf271eee5MD53unal/49336oai:repositorio.unal.edu.co:unal/493362022-12-14 23:03:58.675Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Discrete model of a nonlocal diffusion equation
title Discrete model of a nonlocal diffusion equation
spellingShingle Discrete model of a nonlocal diffusion equation
Difusión no local
condiciones de Neumann
discretización
convergencia
Nonlocal Diffusion
Neumann Boundary Conditions
Discretizations
Convergence
title_short Discrete model of a nonlocal diffusion equation
title_full Discrete model of a nonlocal diffusion equation
title_fullStr Discrete model of a nonlocal diffusion equation
title_full_unstemmed Discrete model of a nonlocal diffusion equation
title_sort Discrete model of a nonlocal diffusion equation
dc.creator.fl_str_mv Bogoya, Mauricio
Gómez S., César A.
dc.contributor.author.spa.fl_str_mv Bogoya, Mauricio
Gómez S., César A.
dc.subject.proposal.spa.fl_str_mv Difusión no local
condiciones de Neumann
discretización
convergencia
Nonlocal Diffusion
Neumann Boundary Conditions
Discretizations
Convergence
topic Difusión no local
condiciones de Neumann
discretización
convergencia
Nonlocal Diffusion
Neumann Boundary Conditions
Discretizations
Convergence
description In this work we prove the existence and uniqueness of solutions as well as the validation of a comparison principle for a discrete model associated to a nonlocal diffusion problem with Neumann conditions. We show that the solutions for the discrete model converge to the solutions of the continuous model when the mesh parameter goes to zero. Finally, we perform some numerical experiments.
publishDate 2013
dc.date.issued.spa.fl_str_mv 2013
dc.date.accessioned.spa.fl_str_mv 2019-06-29T08:36:12Z
dc.date.available.spa.fl_str_mv 2019-06-29T08:36:12Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/42793/
url https://repositorio.unal.edu.co/handle/unal/49336
http://bdigital.unal.edu.co/42793/
dc.language.iso.spa.fl_str_mv spa
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dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/45171
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 47, núm. 1 (2013); 83-94 2357-4100 0034-7426
dc.relation.references.spa.fl_str_mv Bogoya, Mauricio and Gómez S., César A. (2013) Discrete model of a nonlocal diffusion equation. Revista Colombiana de Matemáticas; Vol. 47, núm. 1 (2013); 83-94 2357-4100 0034-7426 .
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 Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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