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Numerical Solution of a parabolic system with blowup of the solution
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | LE ROUX, Marie-Noëlle | |
dc.date.accessioned | 2024-04-04T02:39:19Z | |
dc.date.available | 2024-04-04T02:39:19Z | |
dc.date.created | 2009-05-18 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190960 | |
dc.description.abstractEn | In this paper, the author proposes a numerical method to solve a parabolic system of two quasilinear equations of nonlinear heat conduction with sources. The solution of this system may blow up in finite time. It is proved that the numerical solution also may blow up in finite time and an estimate of this time is obtained. The convergence of the scheme is obtained for particular values of the parameters. | |
dc.language.iso | en | |
dc.subject.en | nonlinear reaction diffusion system | |
dc.subject.en | finite time blowup | |
dc.title.en | Numerical Solution of a parabolic system with blowup of the solution | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
dc.identifier.arxiv | 0905.2862 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
hal.identifier | hal-00385043 | |
hal.version | 1 | |
hal.audience | Non spécifiée | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00385043v1 | |
bordeaux.COinS | ctx_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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