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Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In this article Chebyshev and trigonometric polynomials are used to construct an approximate solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane.
Czasopismo
Rocznik
Tom
Strony
129--136
Opis fizyczny
Bibliogr. 8 poz., tab.
Twórcy
autor
- The John Paul II Catholic University of Lublin, Institute of Mathematics and Computer Science, al. Racławickie 14, 20-950 Lublin, Poland, pawelk@kul.lublin.pl
Bibliografia
- [1] H. Bateman, A. Erdélyi, Higher Transcendental Functions, vol. 2, McGraw-Hill Book Company, New York, 1953.
- [2] S.M. Belocerkovskii, I.K. Lifanov, Numerical Methods for Singular Integral Equations and its Applications in Aerodynamics, Theory of Elasticity and Electrodynamics, Nauka, Moscow, 1985 [in Russian].
- [3] B.G. Gabdulkhaev, Finite-dimensional approximations of singular integrals and direct methods of solution of singular integral and integrodifferential equations, J. Math. Sci. (N.Y.), 18 (1982) 4, 593–627.
- [4] P. Karczmarek, Singular integral equation with a multiplicative Cauchy kernel in the half-plane, Opuscula Math., 28 (2008), 63–72.
- [5] I.K. Lifanov, Singular Integral Equations and Discrete Vortices, VSP, Amsterdam, 1996.
- [6] S. Paszkowski, Numerical applications of Chebyshev polynomials and series, PWN, Warsaw, 1975 [in Polish].
- [7] D. Pylak, M.A. Sheshko, Inversion of singular integrals with Cauchy kernels in the case of an infinite integration domain, Differ. Equ., 41 (2005), 1297–1310.
- [8] M. Sheshko, Singular Integral Equations with Cauchy and Hilbert Kernels and Theirs Approximated Solutions, The Learned Society of the Catholic University of Lublin, Lublin, 2003.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHB-0001-0003