NUMERICAL QUENCHING FOR A SEMILINEAR PARABOLIC EQUATION WITH A POTENTIAL AND GENERAL NONLINEARITIES

This paper concerns the study of the numerical approximation a semilinear parabolic equation subject to Neumann boundary conditions and positive initial data. We find some conditions under which the solution of a semidiscrete form of the above problem quenches in a fi- nite time and estimate its sem...

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Autores principales:	BONI,THÉODORE K, KOUAKOU,THIBAUT K
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2008
Materias:	Semidiscretizations semilinear parabolic equation quenching numerical quenching time convergence
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000300004
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spelling	oai:scielo:S0716-091720080003000042009-01-13NUMERICAL QUENCHING FOR A SEMILINEAR PARABOLIC EQUATION WITH A POTENTIAL AND GENERAL NONLINEARITIESBONI,THÉODORE KKOUAKOU,THIBAUT K Semidiscretizations semilinear parabolic equation quenching numerical quenching time convergence This paper concerns the study of the numerical approximation a semilinear parabolic equation subject to Neumann boundary conditions and positive initial data. We find some conditions under which the solution of a semidiscrete form of the above problem quenches in a fi- nite 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.27 n.3 20082008-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000300004en10.4067/S0716-09172008000300004
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Semidiscretizations semilinear parabolic equation quenching numerical quenching time convergence
spellingShingle	Semidiscretizations semilinear parabolic equation quenching numerical quenching time convergence BONI,THÉODORE K KOUAKOU,THIBAUT K NUMERICAL QUENCHING FOR A SEMILINEAR PARABOLIC EQUATION WITH A POTENTIAL AND GENERAL NONLINEARITIES
description	This paper concerns the study of the numerical approximation a semilinear parabolic equation subject to Neumann boundary conditions and positive initial data. We find some conditions under which the solution of a semidiscrete form of the above problem quenches in a fi- nite 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.
author	BONI,THÉODORE K KOUAKOU,THIBAUT K
author_facet	BONI,THÉODORE K KOUAKOU,THIBAUT K
author_sort	BONI,THÉODORE K
title	NUMERICAL QUENCHING FOR A SEMILINEAR PARABOLIC EQUATION WITH A POTENTIAL AND GENERAL NONLINEARITIES
title_short	NUMERICAL QUENCHING FOR A SEMILINEAR PARABOLIC EQUATION WITH A POTENTIAL AND GENERAL NONLINEARITIES
title_full	NUMERICAL QUENCHING FOR A SEMILINEAR PARABOLIC EQUATION WITH A POTENTIAL AND GENERAL NONLINEARITIES
title_fullStr	NUMERICAL QUENCHING FOR A SEMILINEAR PARABOLIC EQUATION WITH A POTENTIAL AND GENERAL NONLINEARITIES
title_full_unstemmed	NUMERICAL QUENCHING FOR A SEMILINEAR PARABOLIC EQUATION WITH A POTENTIAL AND GENERAL NONLINEARITIES
title_sort	numerical quenching for a semilinear parabolic equation with a potential and general nonlinearities
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2008
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000300004
work_keys_str_mv	AT bonitheodorek numericalquenchingforasemilinearparabolicequationwithapotentialandgeneralnonlinearities AT kouakouthibautk numericalquenchingforasemilinearparabolicequationwithapotentialandgeneralnonlinearities
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NUMERICAL QUENCHING FOR A SEMILINEAR PARABOLIC EQUATION WITH A POTENTIAL AND GENERAL NONLINEARITIES

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