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Parabolic Boundary-Value Problems in a Piecewise Homogeneous Wedge-Shaped Cylindrically Circular Space

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By the method of integral and hybrid integral transforms in combination with the method of principal solutions (matrices of influence and Green’s matrices), we construct, for the first time, the unique exact analytic solutions of parabolic boundary-value problems of mathematical physics in a piecewise homogeneous wedge-shaped cylindrically circular space.

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Authors and Affiliations

  1. Podilsky State Agrarian Technical University, Shevchenko Str., 13, Kamianets-Podilskyi, 32300, Ukraine

    A. P. Hromyk

  2. I. Ohienko Kamianets-Podilskyi National University, Ohienko Str., 61, Kamianets-Podilskyi, 32300, Ukraine

    I. M. Konet & T. M. Pylypiuk

Authors
  1. A. P. Hromyk
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  2. I. M. Konet
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  3. T. M. Pylypiuk
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Correspondence to T. M. Pylypiuk.

Additional information

Translated from Neliniini Kolyvannya, Vol. 23, No. 3, pp. 332–342, July–September, 2020.

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Hromyk, A.P., Konet, I.M. & Pylypiuk, T.M. Parabolic Boundary-Value Problems in a Piecewise Homogeneous Wedge-Shaped Cylindrically Circular Space. J Math Sci 261, 241–252 (2022). https://doi.org/10.1007/s10958-022-05749-4

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  • DOI: https://doi.org/10.1007/s10958-022-05749-4

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