Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2017, Volume 13, Number 3, Pages 254–267
DOI: https://doi.org/10.15407/mag13.03.254 (Mi jmag672) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Approximate solving of the third boundary value problems for Helmholtz equations in the plane with parallel cuts

V. D. Dushkin

National Academy of the National Guard of Ukraine, 3 Zakhystnykiv Ukrainy Sq., Kharkiv, 61001, Ukraine
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DOI: https://doi.org/10.15407/mag13.03.254
Abstract: In the paper, the method of approximate solution of boundary integral equations of the original problem is proposed. The systems of boundary integral equations of the problem are obtained by the method of parametric representation of integral transforms. The convergence of approximate solutions to the exact solution of the original problem is guaranteed by the propositions proved in the paper. Also, the rate of convergence of approximate solutions to exact solutions is found.
Key words and phrases: approximate solution of boundary integral equations, singular integral equation, existence of approximate solution, rate of convergence of approximate solution.
Received: 10.10.2015
Revised: 06.02.2017
Bibliographic databases:
Document Type: Article
MSC: 45P05, 45L05
Language: English
Citation: V. D. Dushkin, “Approximate solving of the third boundary value problems for Helmholtz equations in the plane with parallel cuts”, Zh. Mat. Fiz. Anal. Geom., 13:3 (2017), 254–267
Citation in format AMSBIB
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\by V.~D.~Dushkin
\paper Approximate solving of the third boundary value problems for Helmholtz equations in the plane with parallel cuts
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2017
\vol 13
\issue 3
\pages 254--267
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\crossref{https://doi.org/10.15407/mag13.03.254}
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    • This publication is cited in the following 6 articles:
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