Blowing up of a finite difference solution tou t = uxx + u2
In: Applied Mathematics & Optimization, Jg. 2 (1975-12-01), S. 337-350
Online
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Zugriff:
This paper studies a finite difference approximation to the similinear heat equation (1) with special emphasis on the case when the exact solution blows up with the blowing-up timeT ∞. The key results will be given in Propositions 1 and 2. Proposition 1 states the local convergence, i.e., the convergence of the proposed finite difference solution to the exact solution in any fixed time interval 0 ⩽t ⩽ T, whereT < T ∞. Proposition 2 states the convergence of the numerical blowing-up time to the exact oneT ∞.
Titel: |
Blowing up of a finite difference solution tou t = uxx + u2
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Autor/in / Beteiligte Person: | Nakagawa, Tomoyasu |
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Zeitschrift: | Applied Mathematics & Optimization, Jg. 2 (1975-12-01), S. 337-350 |
Veröffentlichung: | Springer Science and Business Media LLC, 1975 |
Medientyp: | unknown |
ISSN: | 1432-0606 (print) ; 0095-4616 (print) |
DOI: | 10.1007/bf01448176 |
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