NUMERICAL BLOW-UP TIME FOR NONLINEAR PARABOLIC PROBLEMS
In this paper, we analyze numerically some of the features of the blow-up phenomena arising from a nonlinear parabolic equation subject to nonlinear boundary conditions. More precisely, we study numerical approximations of solutions of the problem
where We obtain some conditions under which the solution of the semidiscrete form blows up in a finite time. We estimate its semidiscrete blow-up time and also establish the convergence of the semidiscrete blow-up time to the real one. Finally, we give some numerical experiments to illustrate our analysis.
blow-up, nonlinear parabolic equation, finite difference scheme, numerical blow-up time.
Received: May 7, 2022; Accepted: June 22, 2022; Published: August 10, 2022
How to cite this article: Adou Koffi Achille, Diop Fatou N., N’Guessan Koffi and Touré Kidjégbo Augustin, Numerical blow-up time for nonlinear parabolic problems, Advances in Differential Equations and Control Processes 28 (2022), 135-152. http://dx.doi.org/10.17654/0974324322028
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
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