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On stability criteria of explicit difference schemes for certain heat conduction problems with uncommon boundary conditions


Author: Arnold N. Lowan
Journal: Math. Comp. 15 (1961), 179-185
MSC: Primary 65.68
DOI: https://doi.org/10.1090/S0025-5718-1961-0128632-2
MathSciNet review: 0128632
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Abstract: Stability criteria are derived for the explicit difference schemes appropriate to the following problems: 1) heat conduction in a slab in contact with a well stirred liquid; 2) heat conduction in a slab radiating to one face of a thin slab with infinite thermal conductivity, the other face of which radiates into a medium at prescribed temperature; 3) heat conduction in a cylinder radiating to the inner surface of a thin coaxial cylindrical shell with infinite thermal conductivity, the outer surface of which radiates into a medium at prescribed temperature.


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DOI: https://doi.org/10.1090/S0025-5718-1961-0128632-2
Article copyright: © Copyright 1961 American Mathematical Society