A difference scheme for a conjugate-operator model of a heat conduction problem in polar coordinates |
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| Authors: | S. B. Sorokin |
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| Affiliation: | 1.Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch,Russian Academy of Sciences,Novosibirsk,Russia;2.Novosibirsk State University,Novosibirsk,Russia |
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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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