Numerical quenching for a nonlinear diffusion equation with a singular boundary condition.
In: Bulletin of the Belgian Mathematical Society - Simon Stevin, Jg. 16 (2009-05-01), Heft 2, S. 289-303
Online
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Zugriff:
This paper concerns the study of the numerical approximation for the following boundary value problem { (um)t = uxx, 0 < x < 1, t > 0, ux(0, t) = 0, ux(1, t) = -u-β(1, t), t > 0, u(x, 0) = u0(x) > 0, 0 ≤ x ≤ 1, where m ≥ 1, β > 0. We obtain some conditions under which the solution of a semidiscrete form of the above problem quenches in a finite time and estimate its semidiscrete quenching time. We also establish the convergence of the semidiscrete quenching time. Finally, we give some numerical experiments to illustrate our analysis. [ABSTRACT FROM AUTHOR]
Titel: |
Numerical quenching for a nonlinear diffusion equation with a singular boundary condition.
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Autor/in / Beteiligte Person: | Nabongo, Diabate ; Boni, Théodore K. |
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Zeitschrift: | Bulletin of the Belgian Mathematical Society - Simon Stevin, Jg. 16 (2009-05-01), Heft 2, S. 289-303 |
Veröffentlichung: | 2009 |
Medientyp: | academicJournal |
ISSN: | 1370-1444 (print) |
DOI: | 10.36045/bbms/1244038140 |
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