JUSTIFICATION OF COLLOCATION METHOD FOR ONE CLASS OF SYSTEMS OF CURVILINEAR INTEGRAL EQUATIONS

DOI10.30546/2409-4994.2023.49.2.243OpenAlexW4389253855MaRDI QIDQ6185511

Unnamed Author, Elnur H. Khalilov

Publication date: 29 January 2024

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.2023.49.2.243

zbMATH Keywords

collocation methodquadrature formulassystem of integral equationsHankel functionboundary value problem of shielding

Mathematics Subject Classification ID

Systems of nonlinear integral equations (45G15) Theoretical approximation of solutions to integral equations (45L05) Finite volume methods, finite integration techniques applied to problems in optics and electromagnetic theory (78M12)

Cites Work

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• Boundary integral equations in time-harmonic acoustic scattering
• Regular convergence of operators and approximate solution of equations
• Numerical solution of a system of Volterra equations of the first kind
• Substantiation of the collocation method for one class of systems of integral equations
• Approximate solution of nonlinear integral equations of the theory of developing systems
• Justification of the collocation method for an integral equation of the exterior Dirichlet problem for the Laplace equation
• An iterative approach to the numerical solution of the system of integral equations for boundary value problems for the scalar Helmholtz equation
• Study of approximate solution to integral equation associated with mixed boundary value problem for Laplace equation

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