Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

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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References [Enhancements On Off] (What's this?)

  • [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, Phil. Trans. Roy. Soc. London, Ser. A, 240, 1-57 (1946-8) MR 0018982
  • [4] D. R. Hartree, The application of the differential analyser to the evaluation of solutions of partial differential equations, Proc. First Canadian Math. Congress, 327-337 (1945) 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] E. Rothe, Zweidimensionale parabolische Randwertaufgaben als Grenzfall eindimensi[ill]naler Randwertaufgaben, Math. Ann. 102, 650-670 (1930) MR 1512599

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

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