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

Author:
Marcia Ascher

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

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

Full-text PDF Free Access

References | Additional Information

**[1]**G. W. Evans, R. Brousseau, and R. Keirstead,*Stability considerations for various difference equations derived for the linear heat conduction equation*, J. Math. and Phys.**34**(1956), 267–285. MR**0090134****[2]**F. B. Hildebrand,*On the convergence of numerical solutions of the heat-flow equation*, J. Math. Physics**31**(1952), 35–41. MR**0048171****[3]**M. L. Juncosa and D. M. Young,*On the order of convergence of solutions of a difference equation to a solution of the diffusion equation*, J. Soc. Indust. Appl. Math.**1**(1953), 111–135. MR**0060907****[4]**Werner Leutert,*On the convergence of approximate solutions of the heat equation to the exact solution*, Proc. Amer. Math. Soc.**2**(1951), 433–439. MR**0043577**, 10.1090/S0002-9939-1951-0043577-X**[5]**Mark Lotkin,*The numerical integration of heat conduction equations*, J. Math. and Phys.**37**(1958), 178–187. MR**0099118****[6]**George G. O’Brien, Morton A. Hyman, and Sidney Kaplan,*A study of the numerical solution of partial differential equations*, J. Math. Physics**29**(1951), 223–251. MR**0040805**

Additional Information

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

Article copyright:
© Copyright 1960
American Mathematical Society