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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 5, Pages 45–53 (Mi ivm9236)  

This article is cited in 1 scientific paper (total in 1 paper)

Special variants of collocation method for integral equations in a special case

N. S. Gabbasova, R. R. Zamalievb

a Kazan (Volga Region) Federal University, Naberezhnye Chelny Institute, 10 Syuyumbike Ave., Naberezhnye Chelny, 423812 Russia
b Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (204 kB) Citations (1)
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Abstract: We study integral equation of the third kind with fixed singularities in the kernel. For approximate solving of these equations in the space of generalized functions we propose and substantiate a new generalized variants of the collocation method.
Keywords: integral equation of the third kind, space of generalized functions, approximate solution, collocation method, theoretical substantiation.
Received: 07.10.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 5, Pages 38–45
DOI: https://doi.org/10.3103/S1066369X1705005X
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: N. S. Gabbasov, R. R. Zamaliev, “Special variants of collocation method for integral equations in a special case”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 5, 45–53; Russian Math. (Iz. VUZ), 61:5 (2017), 38–45
Citation in format AMSBIB
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\by N.~S.~Gabbasov, R.~R.~Zamaliev
\paper Special variants of collocation method for integral equations in a special case
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2017
\issue 5
\pages 45--53
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\jour Russian Math. (Iz. VUZ)
\yr 2017
\vol 61
\issue 5
\pages 38--45
\crossref{https://doi.org/10.3103/S1066369X1705005X}
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  • https://www.mathnet.ru/eng/ivm/y2017/i5/p45
  • 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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    Abstract page:145
    Full-text PDF :39
    References:43
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