Z. V. Besaeva, Sh. S. Khubezhty, “Approximate solution of a singular integral equation using Chebyshev series”, Vladikavkaz. Mat. Zh., 18:4 (2016), 15

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Vladikavkazskii Matematicheskii Zhurnal, 2016, Volume 18, Number 4, Pages 15–22 (Mi vmj593)

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

Approximate solution of a singular integral equation using Chebyshev series

Z. V. Besaeva^a, Sh. S. Khubezhty^bc

^a South-Ossetia State University, Tskhinval
^b North Ossetian State University after Kosta Levanovich Khetagurov, Vladikavkaz
^c Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences

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Abstract: A new method of approximate solution of singular integral equations with application of Chebyshev series is offered. Decomposition coefficients are determined by means of the solution of systems of simple algebraic equations. A justification of the constructed computational scheme is given and error estimate is deduced. The method is illustrated by test examples.

Key words: singular integral, Chebyshev series, approximation of integral, error estimation, orthogonal polynomial, coefficient of expansion.

Received: 30.03.2015

Document Type: Article

UDC: 517.392

Language: Russian

Citation: Z. V. Besaeva, Sh. S. Khubezhty, “Approximate solution of a singular integral equation using Chebyshev series”, Vladikavkaz. Mat. Zh., 18:4 (2016), 15–22

Citation in format AMSBIB

\Bibitem{BesKhu16}

\by Z.~V.~Besaeva, Sh.~S.~Khubezhty

\paper Approximate solution of a singular integral equation using Chebyshev series

\jour Vladikavkaz. Mat. Zh.

\yr 2016

\vol 18

\issue 4

\pages 15--22

\mathnet{http://mi.mathnet.ru/vmj593}

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https://www.mathnet.ru/eng/vmj/v18/i4/p15

This publication is cited in the following 1 articles:

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