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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 9, Pages 3–12 (Mi ivm9274)  
This article is cited in 1 scientific paper (total in 1 paper)

Optimal with respect to the order methods of solving integral equations in special case

N. S. Gabbasova, Z. Kh. Galimovab

a Naberezhnye Chelny Institute of Kazan Federal University, 68/19 Mira Ave., Naberezhnye Chelny, 423810 Russia
b Naberezhnye Chelny Branch of Kazan Innovation University, 53/02 Vakhitov Ave., Naberezhnye Chelny, 423815 Russia
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Abstract: We study an integral equation of the third kind with fixed singularities in the kernel. For the approximate solving of these equations in the space of generalized functions we propose and substantiate special generalized versions of spline methods. We show that the constructed methods are optimal with respect to the order.
Keywords: integral equation of the third kind, space of generalized functions, approvimate solution, spline method, theoretical substantiation, optimization with respect to the order.
Received: 23.04.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 9, Pages 1–9
DOI: https://doi.org/10.3103/S1066369X17090018
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: N. S. Gabbasov, Z. Kh. Galimova, “Optimal with respect to the order methods of solving integral equations in special case”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 9, 3–12; Russian Math. (Iz. VUZ), 61:9 (2017), 1–9
Citation in format AMSBIB
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\by N.~S.~Gabbasov, Z.~Kh.~Galimova
\paper Optimal with respect to the order methods of solving integral equations in special case
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 9
\pages 3--12
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\jour Russian Math. (Iz. VUZ)
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\vol 61
\issue 9
\pages 1--9
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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