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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
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
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
Linking options:
https://www.mathnet.ru/eng/jmag672 https://www.mathnet.ru/eng/jmag/v13/i3/p254
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Abstract page: | 120 | Full-text PDF : | 26 | References: | 17 |
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