Quadrature formula for semi-bounded solution of characteristic singular integral equation of cauchy type
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Date
2009
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Publisher
Maltepe Üniversitesi
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CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Abstract
It 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.
Description
Keywords
Singular integral, Singular integral equations, Quadrature formula, Canonic partition, Discrete vortices method, Approximation, Spline
Journal or Series
International Conference of Mathematical Sciences
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Citation
Eshkuvvatov, 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.
