On a Finite Differnce Scheme For Blow Up Solutions For The Chipot-Weissler Equation

Abstract

In this paper, we are interested in the numerical analysis of blow up for the Chipot-Weissler equation with Dirichlet boundary conditions in bounded domain. To approximate the blow up solution, we construct a finite difference scheme and we prove that the numerical solution satisfies the same properties of the exact one and blows up in finite time.

27 pages, 9 figures in Applied Mathematics and Computation (2015)