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Numerical solution of Cauchy type singular integral equations with logarithmic weight, based on arbitrary collocation points
 A. C. Chrysakis,
 G. Tsamasphyros
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Singular integral equations with a Cauchy type kernel and a logarithmic weight function can be solved numerically by integrating them by a Gausstype quadrature rule and, further, by reducing the resulting equation to a linear system by applying this equation at an appropriate number of collocation points x _{k}. Until now these x _{k} have been chosen as roots of special functions. In this paper, an appropriate modification of the original method permits the arbitrary choice of x _{k} without any loss in the accuracy. The performance of the method is examined by applying it to a numerical example and a plane crack problem.
Communicated by D. E. Beskos, March 8, 1990
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 Title
 Numerical solution of Cauchy type singular integral equations with logarithmic weight, based on arbitrary collocation points
 Journal

Computational Mechanics
Volume 7, Issue 1 , pp 2129
 Cover Date
 19900101
 DOI
 10.1007/BF00370054
 Print ISSN
 01787675
 Online ISSN
 14320924
 Publisher
 SpringerVerlag
 Additional Links
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 Authors

 A. C. Chrysakis ^{(1)}
 G. Tsamasphyros ^{(1)}
 Author Affiliations

 1. Section of Mechanics, Department of Engineering Science, The National Technical University of Athens, 5, Heroes of Polytechnion Avenue, GR15773, Athens, Greece