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Error Estimate for Discrete Approximation of the Radiative-Conductive Heat Transfer Problem in a System of Absolutely Black Rods

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We prove an error estimate of order \( O\left(\sqrt{\varepsilon }/\uplambda \right) \) for a discrete approximation of the radiative-conductive heat transfer problem in a system of absolutely black rods bundled in a square box; here, ε is the rod diameter and λ is the heat transfer coefficient.

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Authors and Affiliations

  1. National Research University “Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St, Moscow, 111250, Russia

    A. A. Amosov & N. E. Krymov

Authors
  1. A. A. Amosov
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  2. N. E. Krymov
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Correspondence to A. A. Amosov.

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Translated from Problemy Matematicheskogo Analiza 107, 2020, pp. 3-14.

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Amosov, A.A., Krymov, N.E. Error Estimate for Discrete Approximation of the Radiative-Conductive Heat Transfer Problem in a System of Absolutely Black Rods. J Math Sci 251, 773–786 (2020). https://doi.org/10.1007/s10958-020-05128-x

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  • DOI: https://doi.org/10.1007/s10958-020-05128-x

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