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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLE ROUX, Marie-Noëlle
dc.date.accessioned2024-04-04T02:39:24Z
dc.date.available2024-04-04T02:39:24Z
dc.date.created2009-05-18
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190968
dc.description.abstractEnIn this paper, the authors propose a numerical method to compute the solution of a nonlinear reaction-diffusion problem in the case of HS-regime. The initial condition is a nonnegative function with compact support. The problem is split in two parts: A hyperbolic term solved by using the Hopf and Lax formula and a parabolic term solved by a backward linearized Euler method in time and a finite element method in space. Estimates of the numerical solution are obtained and it is proved that any numerical solution blows up in finite time.
dc.language.isoen
dc.subject.ennonlinear reaction diffusion equation
dc.subject.enfinite timeblowup
dc.title.enNumerical Solution of a nonlinear reaction-diffusion problem in the case of HS-regime
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.identifier.arxiv0905.2861
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00385029
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00385029v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=LE%20ROUX,%20Marie-No%C3%ABlle&rft.genre=preprint


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