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A difference scheme for a conjugate-operator model of a heat conduction problem in polar coordinates

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Abstract

In polar coordinates, a discrete analog of the conjugate-operator model of a heat conduction problem is formulated to hold the structure of the original model. The difference scheme converges with second-order accuracy in the case of discontinuous parameters of the medium in the Fourier law and irregular grids. An efficient algorithm for solving the discrete conjugate-operator model when heat conduction tensor is a unit operator is proposed.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia

    S. B. Sorokin

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    S. B. Sorokin

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  1. S. B. Sorokin
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Correspondence to S. B. Sorokin.

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Original Russian Text © S.B. Sorokin, 2017, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2017, Vol. 20, No. 3, pp. 297–312.

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Sorokin, S.B. A difference scheme for a conjugate-operator model of a heat conduction problem in polar coordinates. Numer. Analys. Appl. 10, 244–258 (2017). https://doi.org/10.1134/S1995423917030065

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  • DOI: https://doi.org/10.1134/S1995423917030065

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