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Numerical analysis for a three interacting species model with nonlocal and cross diffusion

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBENDAHMANE, Mostafa
dc.contributor.authorANAYA, Veronica
dc.contributor.authorSEPULVEDA, Mauricio
dc.date.accessioned2024-04-04T03:22:15Z
dc.date.available2024-04-04T03:22:15Z
dc.date.created2014
dc.date.issued2014
dc.identifier.issn0764-583X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194737
dc.description.abstractEnIn this paper, we consider a reaction-di usion system describing three interacting species in the food chain structure with nonlocal and cross di usion. We propose a semi implicit fi nite volume scheme for this system, we establish existence and uniqueness of the discrete solution, and it is also showed that the discrete solution generated by the given scheme converges to the corresponding weak solution for the model studied. The convergence proof is based on the use of the discrete Sobolev embedding inequalities with general boundary conditions and a space-time L1 compactness argument that mimics the compactness lemma due to S. N. Kruzhkov. Finally we give some numerical examples.
dc.language.isoen
dc.publisherEDP Sciences
dc.title.enNumerical analysis for a three interacting species model with nonlocal and cross diffusion
dc.typeArticle de revue
dc.identifier.doi10.1051/m2an/2014028
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalESAIM: Mathematical Modelling and Numerical Analysis
bordeaux.page171-192
bordeaux.volume49
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01015917
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01015917v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=ESAIM:%20Mathematical%20Modelling%20and%20Numerical%20Analysis&rft.date=2014&rft.volume=49&rft.issue=1&rft.spage=171-192&rft.epage=171-192&rft.eissn=0764-583X&rft.issn=0764-583X&rft.au=BENDAHMANE,%20Mostafa&ANAYA,%20Veronica&SEPULVEDA,%20Mauricio&rft.genre=article


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