Asymptotic behaviour for a numerical approximation of a parabolic problem with blowing up solutions
In: Journal of computational and applied mathematics, Jg. 135 (2001), Heft 1, S. 135-155
Online
academicJournal
- print, 24 ref
In this paper, we study the asymptotic behaviour of a semidiscrete numerical approximation for ut = uxx + up in a bounded interval, (0,1), with Dirichlet boundary conditions. We focus in the behaviour of blowing up solutions. We find that the blow-up rate for the numerical scheme is the same as for the continuous problem. Also we find the blow-up set for the numerical approximations and prove that it is contained in a neighbourhood of the blow-up set of the continuous problem when the mesh parameter is small enough.
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Asymptotic behaviour for a numerical approximation of a parabolic problem with blowing up solutions
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Autor/in / Beteiligte Person: | GROISMAN, Pablo ; ROSSI, Julio D |
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Zeitschrift: | Journal of computational and applied mathematics, Jg. 135 (2001), Heft 1, S. 135-155 |
Veröffentlichung: | Amsterdam: Elsevier, 2001 |
Medientyp: | academicJournal |
Umfang: | print, 24 ref |
ISSN: | 0377-0427 (print) |
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