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Eurasian Mathematical Journal, 2025, Volume 16, Number 1, Pages 32–48
DOI: https://doi.org/10.32523/2077-9879-2025-16-1-32-48 (Mi emj524) 		 
Constructive method for solving of one class of curvilinear integral equations of the first kind

E. H. Khalilovab

a Scientific and Innovation Center, Western Caspian University, AZ1001, Baku, Azerbaijan
b Department of General and Applied Mathematics, Azerbaijan State Oil and Industry University, AZ1010, Baku, Azerbaijan
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DOI: https://doi.org/10.32523/2077-9879-2025-16-1-32-48
Abstract: A new method for the construction of a quadrature formula for the normal derivative of the double-layer potential is developed and a method for calculating the approximate solution of the integral equation of the first kind for Dirichlet boundary value problems for the Helmholtz equation in the two-dimensional space is presented in this work.
Keywords and phrases: Dirichlet boundary value problems, Helmholtz equation, normal derivative, double layer potential, integral equations of the first kind.
Received: 15.01.2024
Document Type: Article
UDC: 45E05
BBC: 31B10
Language: English
Citation: E. H. Khalilov, “Constructive method for solving of one class of curvilinear integral equations of the first kind”, Eurasian Math. J., 16:1 (2025), 32–48
Citation in format AMSBIB
\Bibitem{Kha25}
\by E.~H.~Khalilov
\paper Constructive method for solving of one class of curvilinear integral equations of the first kind
\jour Eurasian Math. J.
\yr 2025
\vol 16
\issue 1
\pages 32--48
\mathnet{http://mi.mathnet.ru/emj524}
\crossref{https://doi.org/10.32523/2077-9879-2025-16-1-32-48}
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