On stability criteria of explicit difference schemes for certain heat conduction problems with uncommon boundary conditions
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- by Arnold N. Lowan PDF
- Math. Comp. 15 (1961), 179-185 Request permission
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.References
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A. N. Lowan, “Heat conduction in a solid in contact with a well-stirred liquid,” Phil. Mag., v. 17, 1934, p. 849-854.
- Walter P. Reid, Heat flow in a half space, Quart. Appl. Math. 14 (1956), 206–208. MR 79488, DOI 10.1090/S0033-569X-1956-79488-7
- Walter P. Reid, Heat flow in a cylinder, Quart. Appl. Math. 16 (1958), 147–153. MR 93308, DOI 10.1090/S0033-569X-1958-93308-9 A. N. Lowan, The Operator Approach to Problems of Stability and Convergence of Solutions of Difference Equations and the Convergence of Various Iteration Procedures, Scripta Mathematica, New York, 1957, p. 79.
Additional Information
- © Copyright 1961 American Mathematical Society
- 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