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Separation of variables in the diffusion equation. I

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Abstract

For both stationary and nonstationary cases, all the coefficients of the linear diffusion equation with a constant diffusion tensor are enumerated for which total separation of the variables is possible by means of differential symmetry operators of a definite structure.

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Literature cited

  1. V. N. Shapovalov and N. B. Sukhomlin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 100 (1974).

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Authors and Affiliations

  1. Kalmyk State University, USSR

    N. B. Sukhomlin

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  1. N. B. Sukhomlin
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 46–53, November, 1976.

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Sukhomlin, N.B. Separation of variables in the diffusion equation. I. Soviet Physics Journal 19, 1424–1429 (1976). https://doi.org/10.1007/BF00890787

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  • DOI: https://doi.org/10.1007/BF00890787

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