A Collocation Method for Cauchy Integral Equations in L2

  • M. Ahues
  • A. Mennouni


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.


Integral Equation Collocation Method Singular Integral Equation Trigonometric Polynomial Fredholm Integral Equation 
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Université Jean MonnetUniversité de LyonSaint-ÉtienneFrance
  2. 2.University of Bordj Bou-ArreridjBordj Bou-ArreridjAlgeria

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