This paper aims at the development of numerical schemes for nonlinear reaction diffusion problems with a convection that blows up in a finite time. A full discretization of this problem that preserves the blow - up property is presented as well as a numerical simulation. Efficiency of the method is derived via a numerical comparison with a classical scheme based on the Runge Kutta scheme.
@article{bwmeta1.element.doi-10_1007_s11533-006-0002-0,
author = {Genevi\`eve Barro and Benjamin Mampassi and Longin Some and Jean Ntaganda and Ouss\'eni So},
title = {Full discretization of some reaction diffusion equation with blow up},
journal = {Open Mathematics},
volume = {4},
year = {2006},
pages = {260-269},
zbl = {1113.65089},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1007_s11533-006-0002-0}
}
Geneviève Barro; Benjamin Mampassi; Longin Some; Jean Ntaganda; Ousséni So. Full discretization of some reaction diffusion equation with blow up. Open Mathematics, Tome 4 (2006) pp. 260-269. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1007_s11533-006-0002-0/
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