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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 9, Page 1531
DOI: https://doi.org/10.31857/S0044466923090156 (Mi zvmmf11617) 		 
Partial Differential Equations

Constructing solutions of Cauchy type integral equations by using four kinds of basis

M. Yaghobifar, F. Hosseini Shekarabi

Department of Mathematics, Shahid Rajaee Teacher Training University Tehran, Iran
DOI: https://doi.org/10.31857/S0044466923090156
Abstract: We have four kinds of solutions for Cauchy type integral equations: by expanding on known functions and using the Maclaurin series, we can convert these four kinds of solutions into linear combinations of some elements that are basis of these solutions. Using these bases gives exact solutions for polynomials and, for some other functions, a high-accuracy approximate solution.
Key words: Cauchy integral equation, singular integral equation, Taylor series, Maclaurin series.
Received: 29.01.2023
Revised: 17.03.2023
Accepted: 29.05.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 9, Pages 1671–1680
DOI: https://doi.org/10.1134/S0965542523090142
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: English
Citation: M. Yaghobifar, F. Hosseini Shekarabi, “Constructing solutions of Cauchy type integral equations by using four kinds of basis”, Zh. Vychisl. Mat. Mat. Fiz., 63:9 (2023), 1531; Comput. Math. Math. Phys., 63:9 (2023), 1671–1680
Citation in format AMSBIB
\Bibitem{YagHos23}
\by M.~Yaghobifar, F.~Hosseini Shekarabi
\paper Constructing solutions of Cauchy type integral equations by using four kinds of basis
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 9
\pages 1531
\mathnet{http://mi.mathnet.ru/zvmmf11617}
\crossref{https://doi.org/10.31857/S0044466923090156}
\elib{https://elibrary.ru/item.asp?id=54313685}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 9
\pages 1671--1680
\crossref{https://doi.org/10.1134/S0965542523090142}
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