Asymptotic Behaviours of Solutions for Finite Difference Analogue of the Chipot-Weissler Equation

This paper deals with nonlinear parabolic equation for which a local solution in time exists and then blows up in a finite time. We consider the Chipot-Weissler equation. We study the numerical approximation, we show that the numerical solution converges to the continuous one under some restriction on the initial data and the parameters of the non linearity. Moreover, we study the numerical blow up sets and we show that although the convergence of the numerical solution is guaranteed, the numerical blow up sets are sometimes different from that of the PDE