On approximate solution of the Dixon integral equation and some its generalizations

The paper is devoted to the study and numerical analytical solution of Fredholm-type integral equations of the second kind with symmetric kernels represented by homogeneous functions of degree (-1). The well-known Dixon equation and some its direct generalizations are specially considered. The equat...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics Vol. 57; no. 7; pp. 1158 - 1166
Main Author: Barseghyan, A. G.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.07.2017
Springer Nature B.V
Subjects:
Computational Mathematics and Numerical Analysis
Fredholm equations
Integral equations
Kernels
Mathematical analysis
Mathematics
Mathematics and Statistics
Wiener Hopf equations
Wiener–Hopf equation
factorization
kernel averaging method
Dixon equation
ISSN:0965-5425, 1555-6662
Online Access:Get full text
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Summary:The paper is devoted to the study and numerical analytical solution of Fredholm-type integral equations of the second kind with symmetric kernels represented by homogeneous functions of degree (-1). The well-known Dixon equation and some its direct generalizations are specially considered. The equations are solved by passing to a Wiener–Hopf equation and applying the kernel averaging method. Results of numerical calculations are presented.
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content type line 14
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542517070041