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Solving a fully parabolic chemotaxis system with periodic asymptotic behavior using Generalized Finite Difference Method

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dc.contributor.authorBenito Muñoz, Juan J.
dc.contributor.authorGarcía, Ángel
dc.contributor.authorGavete, Luis
dc.contributor.authorNegreanu, Mihaela
dc.contributor.authorUreña, Francisco
dc.contributor.authorVargas Ureña, Antonio Manuel
dc.date.accessioned2025-01-10T11:23:35Z
dc.date.available2025-01-10T11:23:35Z
dc.date.issued2020-11
dc.descriptionThis is a Submitted Manuscript of an article published by Elsevier in "Applied Numerical Mathematics Volume 157,Pages 356-371", available at: https://doi.org/10.1016/j.apnum.2020.06.011
dc.descriptionEste es el manuscrito enviado del artículo publicado por Elsevier en "Applied Numerical Mathematics Volume 157, Pages 356-371", disponible en línea: https://doi.org/10.1016/j.apnum.2020.06.011
dc.description.abstractThis work studies a parabolic-parabolic chemotactic PDE's system which describes the evolution of a biological population “U” and a chemical substance “V”, using a Generalized Finite Difference Method, in a two dimensional bounded domain with regular boundary. In a previous paper [12], the authors asserted global classical solvability and periodic asymptotic behavior for the continuous system in 2D. In this continuous work, a rigorous proof of the global classical solvability to the discretization of the model proposed in [12] is presented in two dimensional space. Numerical experiments concerning the convergence in space and in time, and long-time simulations are presented in order to illustrate the accuracy, efficiency and robustness of the developed numerical algorithms.en
dc.description.provenanceMade available in DSpace on 2025-01-10T11:23:35Z (GMT). No. of bitstreams: 1 SolvingParabolicGFD_ANTONIO MANUEL VARGAS.pdf: 20863071 bytes, checksum: 303d1f36bc7bb30e182afa3725686c89 (MD5) Previous issue date: 2020-11en
dc.description.versionversión original
dc.identifier.citationJ.J. Benito, A. García, L. Gavete, M. Negreanu, F. Ureña, A.M. Vargas (2020), Solving a fully parabolic chemotaxis system with periodic asymptotic behavior using Generalized Finite Difference Method, Applied Numerical Mathematics Volume 157, Pages 356-371. doi: https://doi.org/10.1016/j.apnum.2020.06.011
dc.identifier.doihttps://doi.org/10.1016/j.apnum.2020.06.011
dc.identifier.issn0168-9274
dc.identifier.urihttps://hdl.handle.net/20.500.14468/25181
dc.journal.titleApplied Numerical Mathematics
dc.journal.volume157
dc.language.isoen
dc.page.final371
dc.page.initial356
dc.publisherElsevier
dc.relation.centerE.T.S. de Ingenieros Industriales
dc.relation.departmentMatemática Aplicada I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.titleSolving a fully parabolic chemotaxis system with periodic asymptotic behavior using Generalized Finite Difference Methoden
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication13299822-df2d-4601-91fe-82bc69ae16c4
relation.isAuthorOfPublication6d700201-394b-4442-b0f1-dbe2a6703081
relation.isAuthorOfPublication.latestForDiscovery13299822-df2d-4601-91fe-82bc69ae16c4
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