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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 2, Pages 320–329
DOI: https://doi.org/10.31857/S0044466922020089 (Mi zvmmf11363) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical physics

On numerical solution of one class of integral equations of the third kind

N. S. Gabbasova, Z. Kh. Galimovab

a Naberezhnye Chelny Institute, Kazan Federal University, 423810, Naberezhnye Chelny, Republic of Tatarstan, Russia
b Naberezhnye Chelny Branch, Kazan Innovation University named after V.G. Timiryasov, 423815, Naberezhnye Chelny, Republic of Tatarstan, Russia
Citations (1)
DOI: https://doi.org/10.31857/S0044466922020089
Abstract: A linear integral equation of the third kind with fixed singularities in the kernel is studied. For its approximate solution in the space of generalized functions, a special generalized version of the spline method is proposed and substantiated. Optimality of the method in order of accuracy is proved.
Key words: integral equation of the third kind, space of generalized functions, approximate solution, theoretical substantiation.
Received: 09.06.2021
Revised: 09.06.2021
Accepted: 12.10.2021
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 2, Pages 316–324
DOI: https://doi.org/10.1134/S0965542522020075
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: N. S. Gabbasov, Z. Kh. Galimova, “On numerical solution of one class of integral equations of the third kind”, Zh. Vychisl. Mat. Mat. Fiz., 62:2 (2022), 320–329; Comput. Math. Math. Phys., 62:2 (2022), 316–324
Citation in format AMSBIB
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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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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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