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Full discretization of some reaction diffusion equation with blow up

✍ Scribed by Geneviève Barro; Benjamin Mampassi; Longin Some; Jean Marie Ntaganda; Ousséni So

Book ID
107385642
Publisher
SP Versita
Year
2006
Tongue
English
Weight
367 KB
Volume
4
Category
Article
ISSN
1895-1074

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✦ Synopsis

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.

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