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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2021, Number 74, Pages 43–54
DOI: https://doi.org/10.17223/19988621/74/5 (Mi vtgu886) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Investigation of an approximate solution of some classes of surface integral equations of the first kind

E. H. Khalilov

Department of General and Applied Mathematics of the Azerbaijan State Oil and Industry University, Baku, Azerbaijan
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DOI: https://doi.org/10.17223/19988621/74/5
Abstract: A sequence is constructed that converges to an exact solution of a hypersingular integral equation of the first kind of the external Neumann boundary value problem for the Helmholtz equation, which is the boundary value of the solution of the external Neumann boundary value problem on the boundary of the domain. In addition, a sequence is constructed that converges to an exact solution of a weakly singular integral equation of the first kind of the external Dirichlet boundary value problem for the Helmholtz equation, which is the boundary value of the normal derivative of the solution of the external Dirichlet boundary value problem on the boundary of the domain.
Keywords: integral equation of the first kind, weakly singular integral equations, hypersingular integral equations, Helmholtz equation, exterior Neumann boundary-value problem, exterior Dirichlet boundary-value problem.
Received: 08.07.2021
Bibliographic databases:
Document Type: Article
UDC: 517.2; 519.64
MSC: 45E05; 31B10
Language: Russian
Citation: E. H. Khalilov, “Investigation of an approximate solution of some classes of surface integral equations of the first kind”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2021, no. 74, 43–54
Citation in format AMSBIB
\Bibitem{Kha21}
\by E.~H.~Khalilov
\paper Investigation of an approximate solution of some classes of surface integral equations of the first kind
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2021
\issue 74
\pages 43--54
\mathnet{http://mi.mathnet.ru/vtgu886}
\crossref{https://doi.org/10.17223/19988621/74/5}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Томского государственного университета. Математика и механика
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