Quenching Semidiscretizations in Time of a Nonlocal Parabolic Problem With Neumann Boundary Condition
Théodore K. Boni, Thibaut K. Kouakou · 2009
In this paper, under some conditions, we show that the solution of a semidiscrete form of a nonlocal parabolic problem quenches in a finite time and estimate its semidiscrete quenching time. We also prove that the semidiscrete quenching time converges to the real one when the mesh size goes to zero. Finally, we give some numerical results to illustrate our analysis.