Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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On the errors in analogue solutions of heat conduction problems


Author: Jim Douglas Jr.
Journal: Quart. Appl. Math. 14 (1956), 333-335
MSC: Primary 65.3X
DOI: https://doi.org/10.1090/qam/88805
MathSciNet review: 88805
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  • [1] W. A. Bruce, An electrical device for analyzing oil-reservoir behavior, Trans. AIME 151, 112-124 (1943)
  • [2] J. Douglas, On the numerical integration of quasi-linear parabolic differential equations, to appear in the Pacific Journal of Mathematics
  • [3] N. R. Eyres, D. R. Hartree, J. Ingham, R. Jackson, R. J. Sarjant, and J. B. Wagstaff, The calculation of variable heat flow in solids, Philos. Trans. Roy. Soc. London. Ser. A. 240 (1946), 1–57. MR 0018982, https://doi.org/10.1098/rsta.1946.0002
  • [4] D. R. Hartree, The application of the differential analyser to the evaluation of solutions of partial differential equations, Proc. First Canadian Math. Congress, Montreal, 1945, University of Toronto Press, Toronto, 1946, pp. 327–337. MR 0020010
  • [5] E. L. Ince, Ordinary differential equations, New York
  • [6] V. Paschkis and H. D. Baker, A method for determining unsteady-state heat transfer by means of an electrical analogy, Trans. ASME, 64, 105-110 (1942)
  • [7] Erich Rothe, Zweidimensionale parabolische Randwertaufgaben als Grenzfall eindimensionaler Randwertaufgaben, Math. Ann. 102 (1930), no. 1, 650–670 (German). MR 1512599, https://doi.org/10.1007/BF01782368

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DOI: https://doi.org/10.1090/qam/88805
Article copyright: © Copyright 1956 American Mathematical Society


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