Over-Determined Boundary Value Problem Method in the Theory of Mixed Problems for Acoustic Equations in Spherical Regions
- 作者: Pleshchinskii N.1, Pleshchinskaya I.2, Tumakov D.1
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隶属关系:
- Institute of Computational Mathematics and Information Technologies
- Department of Informatics and Applied Mathematics
- 期: 卷 39, 编号 8 (2018)
- 页面: 1099-1107
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202986
- DOI: https://doi.org/10.1134/S1995080218080073
- ID: 202986
如何引用文章
详细
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.
作者简介
N. Pleshchinskii
Institute of Computational Mathematics and Information Technologies
编辑信件的主要联系方式.
Email: prosper7@yandex.ru
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, 420008
I. Pleshchinskaya
Department of Informatics and Applied Mathematics
Email: prosper7@yandex.ru
俄罗斯联邦, ul. Karla Marksa 68, Kazan, 420015
D. Tumakov
Institute of Computational Mathematics and Information Technologies
Email: prosper7@yandex.ru
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, 420008