Quenching for discretizations of a nonlocal parabolic problem with Neumann boundary condition

Abstract

In this paper, under some conditions, we show that the solution of a discrete form of a nonlocal parabolic problem quenches in a finite time and estimate its numerical quenching time. We also prove that the numerical quenching time converges to the real one when the mesh size goes to zero. Finally, we give some computational results to illustrate our analysis.