Eshkuvvatov, Z. K.Long, N. M. A. NikAbdulkawi, M.2024-07-122024-07-122009Eshkuvvatov, Z. K. ve Long, N. M. A. N. (2009). Quadrature formula for semi-bounded solution of characteristic singular integral equation of cauchy type. Maltepe Üniversitesi. s. 397.9.78605E+12https://hdl.handle.net/20.500.12415/2919It is known that the solutions of characteristic singular integral equations (SIEs) are expressed in terms of singular integrals of Cauchy type with wight functions of the form w(x) = (x - a)º(b - x)¹ , where -1 < º; ¹ < 1: In this paper new quadrature formulas are presented to approximate singular integrals of Cauchy type for half bounded solution of characteristic SIEs on the interval [-1; 1]. Linear interpolation spline and modification discrete vortices method (MMDV) are used to construct quadrature formula. Estimations of error are obtained in the classes of functions H ([-1; 1]) and C1([-1; 1]). Numerical experiments are presented to show the validity of the method presented.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessSingular integralSingular integral equationsQuadrature formulaCanonic partitionDiscrete vortices methodApproximationSplineConference Object398397