Quenching for discretizations of a nonlocal parabolic problem with Neumann boundary condition

Théodore K. Boni; Diabaté Nabongo

doi:10.4067/S0719-06462010000100004

Quenching for discretizations of a nonlocal parabolic problem with Neumann boundary condition

Authors

Théodore K. Boni Institut National Polytechnique Houphoüet-Boigny de Yamoussoukro, BP 1093 Yamoussoukro, (Côte d‘Ivoire), France.
Diabaté Nabongo Université d‘Abobo-Adjamé, UFR-SFA, Département de Mathématiques et Informatiques, 16 BP 372 Abidjan 16, (Côte d‘Ivoire), France.

DOI:

https://doi.org/10.4067/S0719-06462010000100004

Keywords:

Nonlocal diffusion, quenching, numerical quenching time

Abstract

In this paper, under some conditions, we show that the solution of a discrete form of a nonlocal parabolic problem quenches in a finite time and estimate its numerical quenching time. We also prove that the numerical quenching time converges to the real one when the mesh size goes to zero. Finally, we give some computational results to illustrate our analysis.

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Published

2010-03-01

How to Cite

[1]

T. K. Boni and D. Nabongo, “Quenching for discretizations of a nonlocal parabolic problem with Neumann boundary condition”, CUBO, vol. 12, no. 1, pp. 23–40, Mar. 2010.