Explicit Solutions of the One-Dimensional Heat Equation for a Composite Wall

Author:
Marcia Ascher

Journal:
Math. Comp. **14** (1960), 346-353

DOI:
https://doi.org/10.1090/S0025-5718-60-99228-0

Corrigendum:
Math. Comp. **16** (1962), 126-126.

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References | Additional Information

**[1]**G. W. Evans, R. Brousseau & R. Keirstead, ``Stability considerations for various difference equations derived for the heat conduction equation,''*Jn. Math. Phys.*, v. 34, 1956, p. 267-285. MR**0090134 (19:773e)****[2]**F. B. Hildebrand, ``On the convergence of numerical solutions of the heat flow equation,''*Jn. Math. Phys.*, v. 31, 1952, p. 35-41. MR**0048171 (13:992g)****[3]**M. L. Juncosa & D. M. Young, ``On the order of convergence of solutions of a difference equation to a solution of the diffusion equation,''*Jn.*Soc. Ind. Appl. Math., v. 1, 1953, p. 111-135. MR**0060907 (15:746d)****[4]**W. Leutert, ``On the convergence of approximate solutions of the heat equation to the exact solution,'' Amer. Math. Soc.*Proc.*, v. 2, 1951, p. 433-439. MR**0043577 (13:287e)****[5]**M. Lotkin, ``Numerical integration of heat conduction equations,''*Jn. Math. Phys.*, v. 37, 1958, p. 178-187. MR**0099118 (20:5562)****[6]**G. G. O'Brien, M. A. Hyman & S. Kaplan, ``A study of the numerical solution of partial differential equations,''*Jn. Math. Phys.*, v. 29, 1951, p. 223-251. MR**0040805 (12:751e)**

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-60-99228-0

Article copyright:
© Copyright 1960
American Mathematical Society