SOLUTION OF SOME SINGULAR INTEGRAL EQUATIONS BY MEANS OF ASYMPTOTIC POLYNOMIALS

SOLUTION OF SOME SINGULAR INTEGRAL EQUATIONS BY MEANS OF ASYMPTOTIC POLYNOMIALS

The paper proposes a new method for approximate solution of singular integral equations with the Cauchy-type kernel which are taken along the real axis segment. Integration function can be represented as an asymptotic polynomial or infinite series using the Chebyshev polynomials. The remainder has b...

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Bibliographic Details
Main Authors: V. P. Gribkova, S. M. Kozlov
Format: Article
Language:Russian
Published: Belarusian National Technical University 2013-08-01
Series:Nauka i Tehnika
Online Access:https://sat.bntu.by/jour/article/view/253
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spelling doaj-cbe24803e96a408484463b2f997e30012021-07-29T08:29:32ZrusBelarusian National Technical UniversityNauka i Tehnika2227-10312414-03922013-08-01047782246SOLUTION OF SOME SINGULAR INTEGRAL EQUATIONS BY MEANS OF ASYMPTOTIC POLYNOMIALSV. P. Gribkova0S. M. Kozlov1Belarusian National Technical UniversityBelarusian National Technical UniversityThe paper proposes a new method for approximate solution of singular integral equations with the Cauchy-type kernel which are taken along the real axis segment. Integration function can be represented as an asymptotic polynomial or infinite series using the Chebyshev polynomials. The remainder has been obtained simultaneously with the approximate solution. Its form makes it possible to determine degree of the polynomial that provides an approximate solution with a given accuracy.https://sat.bntu.by/jour/article/view/253
collection DOAJ
language Russian
format Article
sources DOAJ
author V. P. Gribkova
S. M. Kozlov
spellingShingle V. P. Gribkova
S. M. Kozlov
SOLUTION OF SOME SINGULAR INTEGRAL EQUATIONS BY MEANS OF ASYMPTOTIC POLYNOMIALS
Nauka i Tehnika
author_facet V. P. Gribkova
S. M. Kozlov
author_sort V. P. Gribkova
title SOLUTION OF SOME SINGULAR INTEGRAL EQUATIONS BY MEANS OF ASYMPTOTIC POLYNOMIALS
title_short SOLUTION OF SOME SINGULAR INTEGRAL EQUATIONS BY MEANS OF ASYMPTOTIC POLYNOMIALS
title_full SOLUTION OF SOME SINGULAR INTEGRAL EQUATIONS BY MEANS OF ASYMPTOTIC POLYNOMIALS
title_fullStr SOLUTION OF SOME SINGULAR INTEGRAL EQUATIONS BY MEANS OF ASYMPTOTIC POLYNOMIALS
title_full_unstemmed SOLUTION OF SOME SINGULAR INTEGRAL EQUATIONS BY MEANS OF ASYMPTOTIC POLYNOMIALS
title_sort solution of some singular integral equations by means of asymptotic polynomials
publisher Belarusian National Technical University
series Nauka i Tehnika
issn 2227-1031
2414-0392
publishDate 2013-08-01
description The paper proposes a new method for approximate solution of singular integral equations with the Cauchy-type kernel which are taken along the real axis segment. Integration function can be represented as an asymptotic polynomial or infinite series using the Chebyshev polynomials. The remainder has been obtained simultaneously with the approximate solution. Its form makes it possible to determine degree of the polynomial that provides an approximate solution with a given accuracy.
url https://sat.bntu.by/jour/article/view/253
work_keys_str_mv AT vpgribkova solutionofsomesingularintegralequationsbymeansofasymptoticpolynomials
AT smkozlov solutionofsomesingularintegralequationsbymeansofasymptoticpolynomials
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