2004-Fez conference on Differential Equations and Mechanics. Electron. J. Diff. Eqns., Conference 11, 2004, pp. 117-128.

Thermistor problem: A nonlocal parabolic problem

Abderrahmane El Hachimi, Moulay Rchid Sidi Ammi

Abstract:
In this paper, we propose a time discretization technique using the Euler forward scheme for solving a non local parabolic problem. Existence and uniqueness of the approximate solution are proved and a study of the discrete associated dynamical system is presented.

Published October 15, 2004.
Math Subject Classifications: 35K15, 35K60, 35J60.
Key Words: Semi-discretization; thermistor; a nonlocal; attractor; discrete dynamical system.

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Abderrahmane El Hachimi
UFR Mathéematiques Appliquées et Industrielles
Faculté des Sciences
B. P. 20, El Jadida - Maroc
email: elhachimi@ucd.ac.ma
Moulay Rchid Sidi Ammi
UFR Mathéematiques Appliquées et Industrielles
Faculté des Sciences
B. P. 20, El Jadida - Maroc
email: rachidsidiammi@yahoo.fr

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