Study of approximate solution to integral equation associated with mixed boundary value problem for Laplace equation

DOI10.13108/2021-13-1-85zbMath1474.45076OpenAlexW3156155792MaRDI QIDQ4988669

Mekhpara Nusrat Bakhshalyeva, E. G. Khalilov

Publication date: 18 May 2021

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa547

zbMATH Keywords

collocation methodLaplace equationintegral equation methodmixed boundary value problemcurvilinear integral

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Theoretical approximation of solutions to integral equations (45L05) Integral equations with kernels of Cauchy type (45E05)

Related Items (4)

Analysis of approximate solution for a class of systems of integral equations ⋮ On an approximate solution of a class of systems of curvilinear integral equations ⋮ Investigation of an approximate solution of the integral equation of the exterior Dirichlet boundary value problem for the Helmholtz equation in the two-dimensional space ⋮ JUSTIFICATION OF COLLOCATION METHOD FOR ONE CLASS OF SYSTEMS OF CURVILINEAR INTEGRAL EQUATIONS

Cites Work

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• Constructive method for solving a boundary value problem with impedance boundary condition for the Helmholtz equation
• Boundary integral equations in time-harmonic acoustic scattering
• Regular convergence of operators and approximate solution of equations
• Justification of the collocation method for a class of surface integral equations

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