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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 7, Pages 1161–1169
DOI: https://doi.org/10.7868/S0044466917070055 (Mi zvmmf10588) 		 
On approximate solution of the Dixon integral equation and some its generalizations

A. G. Barseghyan

Institute of Mathematics, National Academy of Sciences of the Republic of Armenia, Erevan, Republic of Armenia
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DOI: https://doi.org/10.7868/S0044466917070055
Abstract: 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.
Key words: Dixon equation, Wiener–Hopf equation, kernel averaging method, factorization.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 15T-1A246
Received: 20.04.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 7, Pages 1158–1166
DOI: https://doi.org/10.1134/S0965542517070041
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. G. Barseghyan, “On approximate solution of the Dixon integral equation and some its generalizations”, Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017), 1161–1169; Comput. Math. Math. Phys., 57:7 (2017), 1158–1166
Citation in format AMSBIB
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