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Journal of engineering physics

, Volume 33, Issue 3, pp 1103–1105 | Cite as

Characteristics of the numerical solution of the heat-conduction equation at early times

  • A. G. Eliseev
Article

Abstract

A criterion is presented for choosing time steps Δt and space steps Δx in an implicit scheme for obtaining a numerical solution of the unsteady heat-conduction equation at early times.

Keywords

Statistical Physic Early Time Implicit Scheme Space Step Choose Time Step 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    S. K. Godunov and V. S. Ryaben'kii, Difference Schemes [in Russian], Nauka (1973).Google Scholar
  2. 2.
    R. D. Richtmyer and K. W. Morton, Difference Methods for Initial Value Problems, 2nd. ed., Wiley-Interscience, New York (1967).Google Scholar
  3. 3.
    M. E. Weber, “Improving the accuracy of Crank-Nicolson numerical solutions of the heat conduction equation”, Trans. ASME, J. Heat Transfer,91, 189 (1969).Google Scholar
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    V. I. Barsukov, V. D. Vilenskii, V. M. Paskonov, and V. I. Taratorin, High-Temperature Boundary Layer in Air [in Russian], MGU (1971).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • A. G. Eliseev

There are no affiliations available

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