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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2020 Number 68, Pages 5–22 (Mi vtgu810)

This article is cited in 3 papers

MATHEMATICS

A quadrature formula for the derivative of logarithmic potentials

M. N. Bakhshaliyeva

Azerbaijan State Oil and Industry University, Baku, Azerbaijan

Abstract: A new method for constructing a quadrature formula for a curvilinear singular integral is given, and on the basis of this method, quadrature formulas for the derivative of the logarithmic potential of a simple layer and the normal derivative of the logarithmic potential of a double layer are constructed.

Keywords: quadrature formula, curvilinear singular integral, derivative of the logarithmic potential of a simple layer, normal derivative of the logarithmic potential of a double layer.

UDC: 517.2; 519.64

MSC: 45E05; 31B10

Received: 22.04.2020

DOI: 10.17223/19988621/68/1



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