On a finite difference scheme for blow up solutions for the Chipot–Weissler equation

Houda Hani and Moez Khenissi

Applied Mathematics and Computation, 2015, vol. 268, issue C, 1199-1216

Abstract: In this paper, we are interested in the numerical analysis of blow up for the Chipot–Weissler equation ut=Δu+|u|p−1u−|∇u|q with Dirichlet boundary conditions in bounded domain when p > 1 and 1≤q≤2pp+1. 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.

Keywords: Nonlinear parabolic equation; Chipot–Weissler equation; Finite time blow up; Finite difference scheme; Numerical solution; Nonlinear gradient term (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:1199-1216

DOI: 10.1016/j.amc.2015.07.029

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