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Numerical Approximation of the Quenching Time for One-Dimensional p-Laplacian with Singular Boundary Flux


Affiliations
1 Universit´e Alassane Ouattara de Bouak´e, UFR-SED, 01 BP V 18 Bouak´e 01, Côte d'Ivoire
2 Universit Flix Houphou¨et Boigny d’Abidjan, UFR-MI, 22 BP 582 Abidjan 22, Côte d'Ivoire
3 Universit´e F´elix Houphou¨et Boigny d’Abidjan, UFR-MI, 22 BP 582 Abidjan 22, Côte d'Ivoire
4 Institut National Polytechnique Houphou¨et-Boigny de Yamoussoukro, BP 2444 Yamoussoukro, Côte d'Ivoire
     

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This paper concerns the study of the numerical approximation for a discrete non-newtonian filtration system with nonlinear boundary conditions. We find some conditions under which the solution of a discrete form of above problem quenches in a finite time and estimate its discrete quenching time. We also establish the convergence of the discrete quenching time to the theoretical one when the mesh size tends to zero.

Keywords

p-Laplacian, Discretization, Singular Boundary Flux, Discrete Quenching Time, Convergence.
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  • Numerical Approximation of the Quenching Time for One-Dimensional p-Laplacian with Singular Boundary Flux

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Authors

N'Guessan Koffi
Universit´e Alassane Ouattara de Bouak´e, UFR-SED, 01 BP V 18 Bouak´e 01, Côte d'Ivoire
Camara Gninlfan Modeste
Universit Flix Houphou¨et Boigny d’Abidjan, UFR-MI, 22 BP 582 Abidjan 22, Côte d'Ivoire
Coulibaly Adama
Universit´e F´elix Houphou¨et Boigny d’Abidjan, UFR-MI, 22 BP 582 Abidjan 22, Côte d'Ivoire
Toure Kidjegbo Augustin
Institut National Polytechnique Houphou¨et-Boigny de Yamoussoukro, BP 2444 Yamoussoukro, Côte d'Ivoire

Abstract


This paper concerns the study of the numerical approximation for a discrete non-newtonian filtration system with nonlinear boundary conditions. We find some conditions under which the solution of a discrete form of above problem quenches in a finite time and estimate its discrete quenching time. We also establish the convergence of the discrete quenching time to the theoretical one when the mesh size tends to zero.

Keywords


p-Laplacian, Discretization, Singular Boundary Flux, Discrete Quenching Time, Convergence.

References