Abstract
The Separation of variables of type N = 2 is completed, and all complete sets of type N = 1 are constructed for the diffusion equation with a scalar matrix for the leading derivatives.
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V. N. Shapovalov and N. B. Sukhomlin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 100 (1974).
N. B. Sukhomlin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 46 (1976).
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Ya. A. Smorodinskii and I. I. Tugov, Zh. Eksp. Teor. Fiz.,50, 653 (1966); V. N. Shapovalov, V. G. Bagrov, and A. G. Meshkov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 8, 45 (1972).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 48–50, July, 1979.
In conclusion, we take this opportunity to thank V. N. Shapovalov for continued interest.
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Sukhomlin, N.B. Separation of variables in the diffusion equation. III. Soviet Physics Journal 22, 726–728 (1979). https://doi.org/10.1007/BF00902886
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DOI: https://doi.org/10.1007/BF00902886