Abstract
Some mixed boundary-value problems for steady-state heat conduction in a rectangular domain with a variable heat-transfer coefficient are solved by reduction to infinite systems.
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H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Oxford (1947).
L. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya shkola, Moscow (1967).
G. M. Fikhtengol'ts, Course in Differential and Integral Calculus, Vol. 3 [in Russian], Fizmatgiz, Moscow (1963).
L. V. Kantorovich and G. P. Akilov, Functional Analysis in Normed Spaces [in Russian], Fizmatgiz, Moscow (1959).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 27, No. 2, pp. 335–340, August, 1974.
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Malov, Y.I., Martinson, L.K. & Pavlov, K.B. Solution of some mixed heat-conduction boundary-value problems. Journal of Engineering Physics 27, 1017–1021 (1974). https://doi.org/10.1007/BF00861613
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DOI: https://doi.org/10.1007/BF00861613