On the Computation of Extinction Time for Some Nonlinear Parabolic Equations

Kossadoum Ngarmadji¹, Siniki Ndeuzoumbet², Hilaire Nkounkou³, Benjamin Mampassi⁴

¹University of N’Djamena, N’Djamena, Chad.
²2University of Moundou, Moundou, Chad.
³Marien Ngouabi University, Brazzaville, Congo.
⁴Cheikh Anta Diop University, Dakar, Senegal.

DOI: 10.4236/am.2015.65071                

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.

Keywords

Nonlinear Parabolic Equations, Donor-Cell Scheme, Numerical Extinction Time, General Domains

Conflicts of Interest

The authors declare no conflicts of interest.

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