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Asymptotic behaviour of a non‐classical heat conduction problem for a semi‐infinite material
Author(s) -
Berrone L. R.,
Tarzia D. A.,
Villa L. T.
Publication year - 2000
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/1099-1476(20000910)23:13<1161::aid-mma157>3.0.co;2-y
Subject(s) - thermal conduction , mathematics , heat flux , heat equation , convergence (economics) , zero (linguistics) , mathematical analysis , linearity , heat transfer , thermodynamics , physics , linguistics , philosophy , quantum mechanics , economics , economic growth
The asymptotic behaviour of a heat conduction problem involving a non‐linear heat source depending on the heat‐flux occurring in the extremum of a semi‐infinite slab is discussed. Conditions are given on the non‐linearity so as to accelerate the convergence of the solution to zero. Copyright © 2000 John Wiley & Sons, Ltd.