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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 12, Pages 3–13 (Mi ivm6019)  
This article is cited in 1 scientific paper (total in 1 paper)

A cubature method for solving one class of multidimensional weakly singular integral equations

Yu. R. Agachev, R. K. Gubaidullina

Chair of Theory of Functions and Approximations, Kazan State University, Kazan, Russia
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Abstract: In this paper we consider one class of two-dimensional weakly singular integral equations of the second kind on a circumference. We theoretically substantiate the applicability of a cubature method based on a special cubature formula for solving equations of the mentioned class.
Keywords: weighted Lebesgue space, integral equation, weakly singular integral, Gauss quadrature formula, cubature method, convergence, error estimate.
Received: 10.09.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 12, Pages 1–10
DOI: https://doi.org/10.3103/S1066369X09120019
Bibliographic databases:
UDC: 517.968+519.64
Language: Russian
Citation: Yu. R. Agachev, R. K. Gubaidullina, “A cubature method for solving one class of multidimensional weakly singular integral equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 12, 3–13; Russian Math. (Iz. VUZ), 53:12 (2009), 1–10
Citation in format AMSBIB
\Bibitem{AgaGub09}
\by Yu.~R.~Agachev, R.~K.~Gubaidullina
\paper A cubature method for solving one class of multidimensional weakly singular integral equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 12
\pages 3--13
\mathnet{http://mi.mathnet.ru/ivm6019}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2663267}
\zmath{https://zbmath.org/?q=an:1192.65155}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 12
\pages 1--10
\crossref{https://doi.org/10.3103/S1066369X09120019}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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