Asymptotic behaviors of solutions for finite difference analogue of the Chipot-Weissler equation

Moez Khenissi, Houda Hani
2016 Discrete and Continuous Dynamical Systems. Series S  
This paper deals with a 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 p and q. Moreover, we study the numerical blow up sets and we show that although the convergence of the numerical solution is guaranteed, the numerical blow
more » ... he numerical blow up sets are sometimes different from that of the PDE.
doi:10.3934/dcdss.2016057 fatcat:5gfjrkaur5h4towia65hqo54ea