Quadrature formulas for some classes of curvilinear integrals

DOI10.32010/j.bmj.2022.02MaRDI QIDQ6552700

Elnur H. Khalilov

Publication date: 10 June 2024

Published in: Baku Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

quadrature formulasLyapunov curvedouble-layer potentialHankel functionsimple-layer potentialcurvilinear integral

Mathematics Subject Classification ID

Integral operators (45P05) Approximate quadratures (41A55) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Integral equations with kernels of Cauchy type (45E05)

Cites Work

• Constructive method for solving a boundary value problem with impedance boundary condition for the Helmholtz equation
• Justification of the collocation method for an integral equation of the exterior Dirichlet problem for the Laplace equation
• Justification of the collocation method for a class of surface integral equations
• Justification of a quadrature method for an integral equation to the external Neumann problem for the Helmholtz equation
• Study of approximate solution to integral equation associated with mixed boundary value problem for Laplace equation
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Related Items (2)

Quadrature formula for normal derivative of double layer potential ⋮ The study of approximate solution of one class of hypersingular integral equations of first kind

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