TITLE:
On the Computation of Extinction Time for Some Nonlinear Parabolic Equations
AUTHORS:
Kossadoum Ngarmadji, Siniki Ndeuzoumbet, Hilaire Nkounkou, Benjamin Mampassi
KEYWORDS:
Nonlinear Parabolic Equations, Donor-Cell Scheme, Numerical Extinction Time, General Domains
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.5,
May
7,
2015
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.