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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 2, Pages 263–272
DOI: https://doi.org/10.31857/S0044466923020072 (Mi zvmmf11513) 		 
Partial Differential Equations

On approximate solution of one class of singular integro-differential equations

N. S. Gabbasov

Naberezhnye Chelny Institute, Kazan Federal University, 423810, Naberezhnye Chelny, Republic of Tatarstan, Russia
DOI: https://doi.org/10.31857/S0044466923020072
Abstract: A linear integro-differential equation with a singular differential operator in the principal part is studied. For its approximate solution in the space of generalized functions, special generalized versions of the methods of moments and subdomains are proposed and substantiated. Optimality of the methods in order of accuracy is established.
Key words: integro-differential equation, approximate solution, direct method, theoretical substantiation.
Received: 14.06.2022
Revised: 21.07.2022
Accepted: 04.08.2022
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 2, Pages 231–240
DOI: https://doi.org/10.1134/S0965542523020069
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: N. S. Gabbasov, “On approximate solution of one class of singular integro-differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023), 263–272; Comput. Math. Math. Phys., 63:2 (2023), 231–240
Citation in format AMSBIB
\Bibitem{Gab23}
\by N.~S.~Gabbasov
\paper On approximate solution of one class of singular integro-differential equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 2
\pages 263--272
\mathnet{http://mi.mathnet.ru/zvmmf11513}
\crossref{https://doi.org/10.31857/S0044466923020072}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4573232}
\elib{https://elibrary.ru/item.asp?id=50435453}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 2
\pages 231--240
\crossref{https://doi.org/10.1134/S0965542523020069}
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