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On the Computation of Extinction Time for Some Nonlinear Parabolic Equations
University of N’Djamena, N’Djamena, Chad
2University of Moundou, Moundou, Chad
Marien Ngouabi University, Brazzaville, Congo
Cheikh Anta Diop University, Dakar, Senegal
- 1 University of N’Djamena, N’Djamena, Chad
- 2 2University of Moundou, Moundou, Chad
- 3 Marien Ngouabi University, Brazzaville, Congo
- 4 Cheikh Anta Diop University, Dakar, Senegal
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Abstract
The phenomenon of extinction is an important property of solutions for many evolutionary equa-tions. In this paper, a numerical simulation for computing the extinction time of nonnegative solu-tions for some nonlinear parabolic equations on general domains is presented. The solution algo-rithm utilizes the Donor-cell scheme in space and Euler’s method in time. Finally, we will give some numerical experiments to illustrate our algorithm.
KeywordsNonlinear Parabolic EquationsDonor-Cell SchemeNumerical Extinction TimeGeneral Domains
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