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Probl. Anal. Issues Anal., 2019, Volume 8(26), Issue 2, Pages 51–66 (Mi pa263)  

The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain

P. N. Ivanshin, E. A. Shirokova

Kazan Federal University, 18 Kremlyovskaya str., Kazan 420008, Russia

Abstract: Here we apply the Cauchy integral method for the Laplace equation in multiply connected domains when the data on each boundary component has the form of the Dirichlet condition or the form of the Neumann condition. This analytic method gives highly accurate results. We give examples of applications of the method.

Keywords: Cauchy integral, Laplace equation, mixed boundary value problem, multiply connected domain, approximate solution.

DOI: https://doi.org/10.15393/j3.art.2019.5570

Full text: PDF file (4354 kB)
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Bibliographic databases:

UDC: 519.632.4
MSC: 35J57, 30E10
Received: 27.06.2018
Revised: 20.12.2018
Accepted:20.12.2018
Language:

Citation: P. N. Ivanshin, E. A. Shirokova, “The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain”, Probl. Anal. Issues Anal., 8(26):2 (2019), 51–66

Citation in format AMSBIB
\Bibitem{IvaShi19}
\by P.~N.~Ivanshin, E.~A.~Shirokova
\paper The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain
\jour Probl. Anal. Issues Anal.
\yr 2019
\vol 8(26)
\issue 2
\pages 51--66
\mathnet{http://mi.mathnet.ru/pa263}
\crossref{https://doi.org/10.15393/j3.art.2019.5570}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000471801400004}


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