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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.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.centerFacultades y escuelas::E.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.typeartículoes
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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