| MSC: | 35B55 | |
| 35B40 | Asymptotic behavior of solutions | |
| 65M06 | Finite difference methods | |
| ZDM: | - | |
| CR: | - | |
| PACS: | - |
Abstract:
This paper concerns the study of the numerical approximation for a semilinear
parabolic equation with Dirichlet-Neumann boundary conditions and a potential. Under
some conditions, we show that the solution of a semidiscrete form of the above problem
quenches in a finite time and estimate its semidiscrete quenching time. We also establish
the convergence of the semidiscrete quenching time, and finally, we give some numerical
experiments to illustrate our analysis.