TITLE

QUENCHING OF NUMERICAL SOLUTIONS FOR SOME SEMILINEAR HEAT EQUATIONS WITH A VARIABLE REACTION

AUTHOR(S)
N'gohisse, F. K.
PUB. DATE
January 2010
SOURCE
Computational Methods in Applied Mathematics;2010, Vol. 10 Issue 1, p95
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, under certain conditions, we show that the solution of the semidiscrete form of a semilinear heat equation with a variable reaction is quenched in a finite time and estimate its semidiscrete quenching time. We also show that the semidiscrete quenching time converges to the continuous one when the mesh size goes to zero. In the same way, an analogous study has been investigated taking into account the discrete form of the above problem. Finally, we present some computational results.
ACCESSION #
49718942

 

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