On the collocation methods for singular integral equations with Hilbert kernel
نویسندگان
چکیده
منابع مشابه
On the collocation methods for singular integral equations with Hilbert kernel
In the present paper, we introduce some singular integral operators, singular quadrature operators and discretization matrices of singular integral equations with Hilbert kernel. These results both improve the classical theory of singular integral equations and develop the theory of singular quadrature with Hilbert kernel. Then by using them a unified framework for various collocation methods o...
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*Correspondence: [email protected] Department of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, Iran Abstract In this paper, an effective numerical method to solve the Cauchy type singular Fredholm integral equations (CSFIEs) of the first kind is proposed. The collocation technique based on Bernstein polynomials is used for approximation the solution of various cases of CSFIE...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2008
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-08-02182-0