On approximation of two-dimensional potential and singular operators
Authors: Charyyar Ashyralyyev, Sedanur Efe
Journal: e-Journal of Analysis and Applied Mathematics (e-JAAM), e-ISSN 2544-9990
Volume: 2019 · Pages: 68 - 83
Published Online: 16 Dec 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 two-dimensional function. MATLAB programs are used for numerical experiments in test examples
Keywords: Spline approximation, potential integral, singular integral, quadrature formula, numeric integrals