Justification of the numerical solution of a hypersingular integral equation

DOI10.1134/S0012266106090114zbMath1136.65125OpenAlexW2082632374WikidataQ57952452 ScholiaQ57952452MaRDI QIDQ2480437

A. S. Kononenko, Yuriy Vladimirovich Gandel'

Publication date: 31 March 2008

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266106090114

zbMATH Keywords

Cauchy principal valueelectromagnetic fieldhypersingular integral equationHadamard finite partwire antennasquadrature formulas of interpolation type

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (5)

A numerical method for solving a system of hypersingular integral equations of the second kind ⋮ Boundary-value problems for the Helmholtz equation and their discrete mathematical models ⋮ Mathematical model of wave scattering by an impedance grating ⋮ Numerical method for the solution of a hypersingular integral equation of the second kind ⋮ A NUMERICAL METHOD FOR SOLVING A COMPLETE HYPERSINGULAR INTEGRAL EQUATION OF THE SECOND KIND AND ITS JUSTIFICATION

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