Abstract
The Ainola variational principle is applied to a heat-conduction problem with moving boundaries.
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É. M. Kartashov, G. M. Bartenev, and B. Ya. Lyubov, Heat and Mass Transfer, Vol. 8 [in Russian], Minsk (1972).
L. Ya. Ainola, Inzh. -Fiz. Zh.,12, No. 4 (1967).
L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Fizmatgiz (1962).
E. Kamke, Handbook on Ordinary Differential Equations [Russian translation], Fizmatgiz (1965).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 26, No. 4, pp. 714–719, April, 1974.
In conclusion we note that the method described here for solving a heat-conduction problem for a region with moving boundaries can be used for other boundary conditions also.
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Yanbulatov, D.M., Tsirel'man, N.M. Variational solution of a heat — Conduction problem for a region with moving boundaries. Journal of Engineering Physics 26, 495–499 (1974). https://doi.org/10.1007/BF00827530
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DOI: https://doi.org/10.1007/BF00827530