Numerical solution of heat-conduction problems on a semi-infinite strip with nonlinear localized flow sources

TitleNumerical solution of heat-conduction problems on a semi-infinite strip with nonlinear localized flow sources
Publication TypeJournal Article
Year of Publication2009
AuthorsKoleva M
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume99
Keywordsartificial boundary conditions, convergence rate, difference schemes, Parabolic problems, semi-infinite strip
Abstract

We consider semi-linear heat problems on a semi-infinite interval. They model systems of temperature regulation in isotropic media with non-uniform source terms which can provide cooling or heating effects. Numerical method for overcoming the nonlinearities in the equation and boundary conditions as well as the unbounded domain is discussed.

2000 MSC

main 35K05, secondary 65M60

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