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 ,CI
  • Camara Gninlfan Modeste
     Universit Flix Houphou¨et Boigny d’Abidjan, UFR-MI, 22 BP 582 Abidjan 22 ,CI
  • Coulibaly Adama
     Universit´e F´elix Houphou¨et Boigny d’Abidjan, UFR-MI, 22 BP 582 Abidjan 22 ,CI
  • Toure Kidjegbo Augustin
     Institut National Polytechnique Houphou¨et-Boigny de Yamoussoukro, BP 2444 Yamoussoukro ,CI

DOI:

https://doi.org/10.18311/jims/2023/31298

Keywords:

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

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.

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Published

2023-03-24

How to Cite

Koffi, N., Modeste, C. G., Adama, C., & Augustin, T. K. (2023). Numerical Approximation of the Quenching Time for One-Dimensional p-Laplacian with Singular Boundary Flux. The Journal of the Indian Mathematical Society, 90(1-2), 85–104. https://doi.org/10.18311/jims/2023/31298

Issue

Volume 90, Issue 1-2, January-June 2023

Section

Articles

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Copyright (c) 2023 N'Guessan Koffi, Camara Gninlfan Modeste, Coulibaly Adama, Toure Kidjegbo Augustin

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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