Numerical solution of Cauchy type singular integral equations with logarithmic weight, based on arbitrary collocation points

Chrysakis, AC; Tsamasphyros, G

dc.contributor.author	Chrysakis, AC	en
dc.contributor.author	Tsamasphyros, G	en
dc.date.accessioned	2014-03-01T01:08:04Z
dc.date.available	2014-03-01T01:08:04Z
dc.date.issued	1990	en
dc.identifier.issn	01787675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10261
dc.subject	Linear System	en
dc.subject	Numerical Solution	en
dc.subject	Quadrature Rule	en
dc.subject	Singular Integral Equation	en
dc.subject	Special Functions	en
dc.subject	Weight Function	en
dc.title	Numerical solution of Cauchy type singular integral equations with logarithmic weight, based on arbitrary collocation points	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00370054	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00370054	en
heal.publicationDate	1990	en
heal.abstract	Singular integral equations with a Cauchy type kernel and a logarithmic weight function can be solved numerically by integrating them by a Gauss-type quadrature rule and, further, by reducing the resulting equation to a linear system by applying this equation at an appropriate number of collocation points xk. Until now these xk have been chosen as roots of special functions. In this paper, an appropriate modification of the original method permits the arbitrary choice of xk 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. © 1990 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/BF00370054	en
dc.identifier.volume	7	en
dc.identifier.issue	1	en
dc.identifier.spage	21	en
dc.identifier.epage	29	en