On approximation of two-dimensional potential and singular operators
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C.Ashyralyyev, S.Efe, Second order approximation two dimensional potential and singular integrals, e-Journal of Analysis and Applied Mathematics, 2019(1), 68-83, doi:1.2478/ejaam-2019-0005, 2019.Abstract
The purpose of this paper is the construction of second-order of accuracy quadrature formulas for the numerical calculation of the Vekua types two-dimensional potential and singular integral operators in the unit disk of complex plane. We propose quadrature formulas for these integrals which based on first-order spline approximation of twodimensional function. MATLAB programs are used for numerical experiments in test examples.
