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


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.


Statistical Physic Early Time Implicit Scheme Space Step Choose Time Step 
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Literature cited

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    S. K. Godunov and V. S. Ryaben'kii, Difference Schemes [in Russian], Nauka (1973).Google Scholar
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    R. D. Richtmyer and K. W. Morton, Difference Methods for Initial Value Problems, 2nd. ed., Wiley-Interscience, New York (1967).Google Scholar
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    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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