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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Vydané v:Computational mathematics and mathematical physics Ročník 57; číslo 7; s. 1158 - 1166
Hlavný autor: Barseghyan, A. G.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Moscow Pleiades Publishing 01.07.2017
Springer Nature B.V
Predmet:
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
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Popis
Shrnutí: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.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542517070041