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University proceedings. Volga region. Physical and mathematical sciences, 2011, Issue 1, Pages 31–39 (Mi ivpnz552)  
Mathematics

Some analytical solutions to the Neumann problem on a disk for the Helmholtz equation

M. Yu. Medvedik, I. A. Rodionova

Penza State University, Penza
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Abstract: The article considers Neumann problem for Helmholtz equation. The problem is reduced to integral equation. The authors describe a theory of the equation solvability. The article presents several numerical results of the integral equation solution on a disk.
Keywords: analytical solution, integral equation, boundary value problem.
Document Type: Article
UDC: 517.3
Language: Russian
Citation: M. Yu. Medvedik, I. A. Rodionova, “Some analytical solutions to the Neumann problem on a disk for the Helmholtz equation”, University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 1, 31–39
Citation in format AMSBIB
\Bibitem{MedRod11}
\by M.~Yu.~Medvedik, I.~A.~Rodionova
\paper Some analytical solutions to the Neumann problem on a disk for the Helmholtz equation
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2011
\issue 1
\pages 31--39
\mathnet{http://mi.mathnet.ru/ivpnz552}
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