Abstract
The Kantorovich method is used to obtain an approximate solution of the problem of heating (cooling) of a plate, whose thermophysical parameters depend on temperature, in the presence of radiative heat exchange with the ambient medium. The solution is compared with certain known exact solutions.
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Kogan, M.G. Solution of nonlinear problems of the theory of heat conduction by the Kantorovich method. Journal of Engineering Physics 12, 38–44 (1967). https://doi.org/10.1007/BF00829417
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DOI: https://doi.org/10.1007/BF00829417