On the Computation of Extinction Time for Some Nonlinear Parabolic Equations

Abstract

The phenomenon of extinction is an important property of solutions for many evolutionary equations. In this paper, a numerical simulation for computing the extinction time of nonnegative solutions for some nonlinear parabolic equations on general domains is presented. The solution algorithm utilizes the Donor-cell scheme in space and Euler's method in time. Finally, we will give some numerical experiments to illustrate our algorithm.