Abstract
It is proposed to solve the heat conduction equation with complicated boundary conditions using the notion of R-functions. A solution which satisfies exactly mixed boundary conditions or boundary conditions of the first, second, or third kind is constructed.
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Literature cited
V.L. Rvachev, Geometrical Applications of Algebraic Logic [in Russian], Tekhnika, Kiev (1967).
V. L. Rvachev and K. L. Yushchenko, Dokl. Akad. Nauk UkrSSR, No. 2, 163–166 (1965).
V. L. Rvachev, Dokl. Akad. Nauk SSSR,153, No. 4 (1963).
S. G. Mikhlin, Direct Methods in Mathematical Physics [in Russian], GITTL, Moscow-Leningrad (1950).
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol.21, No. 5, pp.909–913, November, 1971.
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Ryzhenko, B.F. A method of constructing a solution of the heat-conduction equation with complex boundary conditions. Journal of Engineering Physics 21, 1434–1437 (1971). https://doi.org/10.1007/BF01271361
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DOI: https://doi.org/10.1007/BF01271361