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On the blow-up time convergence of semidiscretizations of reaction-diffusion equations

✍ Scribed by Luis M. Abia; J.C. López-Marcos; Julia Martínez

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
733 KB
Volume
26
Category
Article
ISSN
0168-9274

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✦ Synopsis

Semidiscretizations of reaction-diffusion equations are studied and special attention is devoted to symmetric solutions. Also nonsymmetric solutions are considered when the reaction term is such that f(0) = 0. Sufficient conditions for blow-up in such discretizations are established and upper bounds of the blow-up time, which depend on the maximum norm of the initial conditions, are provided. Convergence of the blow-up times of the semidiscrete problems to the theoretical one is proved. @ 1998 IMACS/Elsevier Science B.V.

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