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Method of Paired Integral Equations in the Region of L-Transforms for Solving Two-Dimensional Problems of Nonstationary Heat Conduction with Mixed Boundary Conditions

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Abstract

We suggest solutions of two problems of mathematical physics for a half-space with mixed discontinuous boundary conditions (Be) assigned on its surface. A circle of radius r = R on the surface z = 0 is the discontinuity line for the mixed Be. It is shown that the solution of parabolic-type partial differential equations with mixed Be in a classical form is reduced to the solution of the corresponding integral equation in the region of L-transforms.

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Authors and Affiliations

  1. Belarusian State University, Minsk, Belarus

    V. P. Kozlov, N. I. Yurchuk & P. A. Mandrik

Authors
  1. V. P. Kozlov
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  2. N. I. Yurchuk
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  3. P. A. Mandrik
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 71, No. 4, pp. 734–743, July–August, 1998.

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Kozlov, V.P., Yurchuk, N.I. & Mandrik, P.A. Method of Paired Integral Equations in the Region of L-Transforms for Solving Two-Dimensional Problems of Nonstationary Heat Conduction with Mixed Boundary Conditions. J Eng Phys Thermophys 71, 731–739 (1998). https://doi.org/10.1007/BF03449555

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  • DOI: https://doi.org/10.1007/BF03449555

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