NUMERICAL SCHEME FOR SOLVING SOME REACTION DIFFUSION EQUATIONS WITH BLOW UP

Geneviève Barro-Kabre (Burkina Faso), Ousséni So (Burkina Faso), Ousseynou Nakoulima (France) and Blaise Some (Burkina Faso)

Received September 30, 2007

Abstract

This paper aims to obtain the existence and the properties of the numerical solution of a nonlinear reaction diffusion problem with a convection that blows up in a finite time. Numerical simulations have shown that this scheme is very efficient to solve this problem [5].

Keywords and phrases: reaction diffusion equation, nonlinear parabolic problems, blow-up.