Email this article Over-Determined Boundary Value Problem Method in the Theory of Mixed Problems for Acoustic Equations in Spherical Regions
- Authors: Pleshchinskii N.B.1, Pleshchinskaya I.E.2, Tumakov D.N.1
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Affiliations:
- Institute of Computational Mathematics and Information Technologies
- Department of Informatics and Applied Mathematics
- Issue: Vol 39, No 8 (2018)
- Pages: 1099-1107
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202986
- DOI: https://doi.org/10.1134/S1995080218080073
- ID: 202986
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Abstract
The over-determined boundary value problem method is extended to solve some mixed problems for acoustic equations in spherical coordinates. The solvability conditions of auxiliary overdetermined problems for the coordinate regions are obtained. These conditions are used to move from initial mixed boundary value problems to dual series equations of the standard form and then to infinite sets of linear algebraic equations.
About the authors
N. B. Pleshchinskii
Institute of Computational Mathematics and Information Technologies
Author for correspondence.
Email: prosper7@yandex.ru
Russian Federation, ul. Kremlevskaya 18, Kazan, 420008
I. E. Pleshchinskaya
Department of Informatics and Applied Mathematics
Email: prosper7@yandex.ru
Russian Federation, ul. Karla Marksa 68, Kazan, 420015
D. N. Tumakov
Institute of Computational Mathematics and Information Technologies
Email: prosper7@yandex.ru
Russian Federation, ul. Kremlevskaya 18, Kazan, 420008
