Numerical quenching for a semilinear parabolic equation

Autor:	Diabate Nabongo, Theodore K. Boni
Jazyk:	angličtina
Rok vydání:	2008
Předmět:	Semidiscretizations semilinear parabolic equation quenching numerical quenching time convergence Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 13, Iss 4 (2008)
Druh dokumentu:	article
ISSN:	1392-6292 1648-3510
DOI:	10.3846/1392-6292.2008.13.521-538
Popis:	This paper concerns the study of the numerical approximation for the nonlinear parabolic boundary value problem with the source term leading to the quenching in finite time. We find 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 prove that the semidiscrete quenching time converges to the real one when the mesh size goes to zero. A similar study has been also investigated taking a discrete form of the above problem. Finally, we give some numerical experiments to illustrate our analysis. First Published Online: 14 Oct 2010
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e63907edda5441e48e05cba00e9e19f4 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF