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Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts

Vernadsky National Library of Ukraine

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Title Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts
 
Creator Dushkin, V.D.
 
Description 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.
 
Date 2018-07-10T19:23:32Z
2018-07-10T19:23:32Z
2017
 
Type Article
 
Identifier Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts / V.D. Dushkin // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 3. — С. 254-267. — Бібліогр.: 22 назв. — англ.
1812-9471
DOI: doi.org/10.15407/mag13.03.254
Mathematics Subject Classification 2000: 45P05, 45L05
http://dspace.nbuv.gov.ua/handle/123456789/140574
 
Language en
 
Relation Журнал математической физики, анализа, геометрии
 
Publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України