On the convergence of a solution of a difference equation to a solution of the equation of diffusion

Authors:
M. L. Juncosa and D. M. Young

Journal:
Proc. Amer. Math. Soc. **5** (1954), 168-174

MSC:
Primary 65.0X

DOI:
https://doi.org/10.1090/S0002-9939-1954-0060906-4

MathSciNet review:
0060906

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References | Similar Articles | Additional Information

**[1]**M. L. Cartwright,*On the relation between different types of Abel summation*, Proc. London Math. Soc. (2) vol. 31 (1930) pp. 81-96.**[2]**L.*Fejér Untersuchungen über Fouriersche Reihen*, Math. Ann. vol. 58 (1904) pp. 51-69.**[3]**G. H. Hardy,*Divergent Series*, Oxford, at the Clarendon Press, 1949. MR**0030620****[4]**G. H. Hardy and W. W. Rogosinski,*Fourier series*, Cambridge Tracts in Mathematics and Mathematical Physics, no. 38, Cambridge, At the University Press, 1950. 2nd ed. MR**0044660****[5]**F. B. Hildebrand,*On the convergence of numerical solutions of the heat-flow equation*, J. Math. Physics**31**(1952), 35–41. MR**0048171****[6]**Werner Leutert,*On the convergence of unstable approximate solutions of the heat equation to the exact solution*, J. Math. Physics**30**(1952), 245–251. MR**0046753****[7]**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**

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DOI:
https://doi.org/10.1090/S0002-9939-1954-0060906-4

Article copyright:
© Copyright 1954
American Mathematical Society