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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 5, Pages 20–27 (Mi ivm9354)  
This article is cited in 1 scientific paper (total in 1 paper)

Special version of collocation method for integral equations of the third kind with fixed singulariries in a kernel

N. S. Gabbasova, Z. Kh. Galimovab

a Naberezhnye Chelny Institute of Kazan Federal University, 68/19 Mira Ave., Naberezhnye Chelny, 423810 Russia
b Kazan Innovation University named after B.G. Timiryasov, 53/02 Vakhitov Ave., Naberezhnye Chelny, 423815 Russia
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Abstract: We study a linear integral equation of the third kind with fixed singularities in a kernel. For the approximate solution of these equations in the space of generalized functions we propose and substantiate special version of the collocation method.
Keywords: integral equation of the third kind, space of the generalized functions, approximate solution, collocation method, theoretical substantiation.
Received: 02.03.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 5, Pages 16–22
DOI: https://doi.org/10.3103/S1066369X18050031
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: N. S. Gabbasov, Z. Kh. Galimova, “Special version of collocation method for integral equations of the third kind with fixed singulariries in a kernel”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 5, 20–27; Russian Math. (Iz. VUZ), 62:5 (2018), 16–22
Citation in format AMSBIB
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\by N.~S.~Gabbasov, Z.~Kh.~Galimova
\paper Special version of collocation method for integral equations of the third kind with fixed singulariries in a kernel
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 5
\pages 20--27
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\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 5
\pages 16--22
\crossref{https://doi.org/10.3103/S1066369X18050031}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:17
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