A Collocation Method for Cauchy Integral Equations in L 2

M. Ahues () and A. Mennouni ()
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M. Ahues: Université de Lyon, Université Jean Monnet
A. Mennouni: University of Bordj Bou-Arreridj

A chapter in Integral Methods in Science and Engineering, 2011, pp 1-5 from Springer

Abstract: Abstract In this paper we present a collocation method based on trigonometric polynomials combined with a regularization procedure, for solving Cauchy integral equations of the second kind, in L 2(0,2π). A system of linear equations is involved. We prove the existence of the solution for a double projection scheme, and we perform the error analysis. Some numerical examples illustrate the theoretical results.

Keywords: Integral Equation; Collocation Method; Singular Integral Equation; Trigonometric Polynomial; Fredholm Integral Equation (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8238-5_1

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DOI: 10.1007/978-0-8176-8238-5_1

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