TANH TRANSFORMATION FOR THE SOLUTION OF SINGULAR INTEGRAL EQUATIONS.

Tsamasphyros, G; Androulidakis, P

dc.contributor.author	Tsamasphyros, G	en
dc.contributor.author	Androulidakis, P	en
dc.date.accessioned	2014-03-01T01:07:01Z
dc.date.available	2014-03-01T01:07:01Z
dc.date.issued	1987	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9742
dc.subject	Singular Integral Equation	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	MATHEMATICAL TRANSFORMATIONS	en
dc.subject.other	TANH TRANSFORMATION	en
dc.subject.other	MATHEMATICAL TECHNIQUES	en
dc.title	TANH TRANSFORMATION FOR THE SOLUTION OF SINGULAR INTEGRAL EQUATIONS.	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.1620240306	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.1620240306	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	Using a tanh transformation a quadrature formula for the evaluation of singular integrals is obtained. The formula has the same step length h as the formula for regular integrals derived by F. Stenger. These quadrature formulae are valid for end point singularities of any order and their error exhibits an exponential decay when the number of integrations tends to infinity. Using these formulae the solution of singular integral equations does not depend on the order of the end point singularities. Furthermore the collocation points are given by a very simple equation and, in the case of constant coefficients, by a closed-form formula.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/nme.1620240306	en
dc.identifier.isi	ISI:A1987G430000005	en
dc.identifier.volume	24	en
dc.identifier.issue	3	en
dc.identifier.spage	543	en
dc.identifier.epage	556	en