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Integral-equation construction of the green's function for generalized boundary-value problems involving the heat-conduction equation

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Abstract

A method is proposed for constructing Green's functions for boundary-value problems involving the heat-conduction equation for a semiinfinite line with a uniformly moving boundary and for a line segment with boundaries in uniform and parallel motion.

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Literature cited

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Authors and Affiliations

  1. Lenin Moscow State Pedagogic Institute, USSR

    É. M. Kartashov & G. M. Bartenev

Authors
  1. É. M. Kartashov
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  2. G. M. Bartenev
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, Vol. 12, No. 2, pp. 70–82, February, 1969.

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Kartashov, É.M., Bartenev, G.M. Integral-equation construction of the green's function for generalized boundary-value problems involving the heat-conduction equation. Soviet Physics Journal 12, 189–198 (1969). https://doi.org/10.1007/BF00819313

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  • DOI: https://doi.org/10.1007/BF00819313

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