Direct Taylor-series solution of singular integral equations with MAPLE

Ioakimidis, NI; Anastasselos, GT

dc.contributor.author	Ioakimidis, NI	en
dc.contributor.author	Anastasselos, GT	en
dc.date.accessioned	2014-03-01T01:08:46Z
dc.date.available	2014-03-01T01:08:46Z
dc.date.issued	1992	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10673
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0026938227&partnerID=40&md5=265855ae96d57ec887ce95dd5312427f	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Algebra	en
dc.subject.other	Approximation theory	en
dc.subject.other	Chebyshev approximation	en
dc.subject.other	Computational methods	en
dc.subject.other	Computer applications	en
dc.subject.other	Computer software	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Elasticity	en
dc.subject.other	Stresses	en
dc.subject.other	Collinear cracks	en
dc.subject.other	Computer algebra systems (CAS)	en
dc.subject.other	Lobatto Chebyshev method	en
dc.subject.other	Semianalytical/numerical (SAN) environment	en
dc.subject.other	Singular integral equations (SIEs)	en
dc.subject.other	Taylor Maclaurin series	en
dc.subject.other	Integral equations	en
dc.title	Direct Taylor-series solution of singular integral equations with MAPLE	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	Cauchy-type singular integral equations (SIEs) frequently appear in a variety of elasticity problems and, most often, in crack problems. Here we extend the classical direct numerical methods for the approximate solution of these equations to the semi-analytical/numerical (SAN) environment offered by modern computer algebra systems (CAS). The idea is simply to use Taylor-Maclaurin series in the approximate SAN solution and to reduce the problem to a purely numerical set of systems of linear equations. The approach is illustrated in the classical Lobatto-Chebyshev method with an application to the problem of a periodic array of collinear cracks. Extensive displayed SAN results for the stress intensity factors show the convergence and efficiency of the proposed SAN approach. The cases of other direct methods for SIEs are also directly applicable. © 1992.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.isi	ISI:A1992JZ84500020	en
dc.identifier.volume	45	en
dc.identifier.issue	3	en
dc.identifier.spage	613	en
dc.identifier.epage	617	en