On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite Differences

In the present paper we propose the Generalized Finite Difference Method (GFDM) for numerical solution of a cross-diffusion system with chemotactic terms. We derive the discretization of the system using a GFD scheme in order to prove and illustrate that the uniform stability behavior/ convergence o...

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Detalles Bibliográficos
Autores: Benito, J.J., García, A., Gavete, L., Negreanu Pruna, Mihaela, Ureña, F., Vargas, A. M.
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/7731
Acceso en línea:https://hdl.handle.net/20.500.14352/7731
Access Level:acceso abierto
Palabra clave:519.6
Chemotaxis models
Parabolic-elliptic systems
Generalized Finite Difference method
Método de las diferencias finitas generalizadas
Análisis numérico
Ecuaciones diferenciales
Biología molecular (Química)
1206 Análisis Numérico
1202.07 Ecuaciones en Diferencias
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oai_identifier_str oai:docta.ucm.es:20.500.14352/7731
network_acronym_str ES
network_name_str España
repository_id_str
spelling On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite DifferencesBenito, J.J.García, A.Gavete, L.Negreanu Pruna, MihaelaUreña, F.Vargas, A. M.519.6Chemotaxis modelsParabolic-elliptic systemsGeneralized Finite Difference methodMétodo de las diferencias finitas generalizadasAnálisis numéricoEcuaciones diferencialesBiología molecular (Química)1206 Análisis Numérico1202.07 Ecuaciones en DiferenciasIn the present paper we propose the Generalized Finite Difference Method (GFDM) for numerical solution of a cross-diffusion system with chemotactic terms. We derive the discretization of the system using a GFD scheme in order to prove and illustrate that the uniform stability behavior/ convergence of the continuous model is also preserved for the discrete model. We prove the convergence of the explicit method and give the conditions of convergence. Extensive numerical experiments are presented to illustrate the accuracy, efficiency and robustness of the GFDM.ElsevierUniversidad Complutense de Madrid20202020-04-0120202020-04-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/7731reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/77312026-06-02T12:44:21Z
dc.title.none.fl_str_mv On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite Differences
title On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite Differences
spellingShingle On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite Differences
Benito, J.J.
519.6
Chemotaxis models
Parabolic-elliptic systems
Generalized Finite Difference method
Método de las diferencias finitas generalizadas
Análisis numérico
Ecuaciones diferenciales
Biología molecular (Química)
1206 Análisis Numérico
1202.07 Ecuaciones en Diferencias
title_short On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite Differences
title_full On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite Differences
title_fullStr On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite Differences
title_full_unstemmed On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite Differences
title_sort On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite Differences
dc.creator.none.fl_str_mv Benito, J.J.
García, A.
Gavete, L.
Negreanu Pruna, Mihaela
Ureña, F.
Vargas, A. M.
author Benito, J.J.
author_facet Benito, J.J.
García, A.
Gavete, L.
Negreanu Pruna, Mihaela
Ureña, F.
Vargas, A. M.
author_role author
author2 García, A.
Gavete, L.
Negreanu Pruna, Mihaela
Ureña, F.
Vargas, A. M.
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 519.6
Chemotaxis models
Parabolic-elliptic systems
Generalized Finite Difference method
Método de las diferencias finitas generalizadas
Análisis numérico
Ecuaciones diferenciales
Biología molecular (Química)
1206 Análisis Numérico
1202.07 Ecuaciones en Diferencias
topic 519.6
Chemotaxis models
Parabolic-elliptic systems
Generalized Finite Difference method
Método de las diferencias finitas generalizadas
Análisis numérico
Ecuaciones diferenciales
Biología molecular (Química)
1206 Análisis Numérico
1202.07 Ecuaciones en Diferencias
description In the present paper we propose the Generalized Finite Difference Method (GFDM) for numerical solution of a cross-diffusion system with chemotactic terms. We derive the discretization of the system using a GFD scheme in order to prove and illustrate that the uniform stability behavior/ convergence of the continuous model is also preserved for the discrete model. We prove the convergence of the explicit method and give the conditions of convergence. Extensive numerical experiments are presented to illustrate the accuracy, efficiency and robustness of the GFDM.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-04-01
2020
2020-04-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/7731
url https://hdl.handle.net/20.500.14352/7731
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869422979890282496
score 15.301603

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