On a new integration rule with the Gegenbauer polynomials for singular integral equations used in the theory of elasticity

Ladopoulos, EG

dc.contributor.author	Ladopoulos, EG	en
dc.date.accessioned	2014-03-01T01:07:12Z
dc.date.available	2014-03-01T01:07:12Z
dc.date.issued	1988	en
dc.identifier.issn	0020-1154	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9856
dc.subject	Closed Form Solution	en
dc.subject	gegenbauer polynomials	en
dc.subject	Integral Equation	en
dc.subject	Large Classes	en
dc.subject	Numerical Solution	en
dc.subject	Singular Integral	en
dc.subject	Singular Integral Equation	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	FRACTURE MECHANICS - Computer Simulation	en
dc.subject.other	STRUCTURAL DESIGN - Computer Aided Design	en
dc.subject.other	COLLOCATION METHODS	en
dc.subject.other	INTEGRAL APPROXIMATION	en
dc.subject.other	INTEGRATION RULE	en
dc.subject.other	ELASTICITY	en
dc.title	On a new integration rule with the Gegenbauer polynomials for singular integral equations used in the theory of elasticity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00537198	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00537198	en
heal.language	English	en
heal.publicationDate	1988	en
heal.abstract	A new technique is proposed for the numerical solution of the Cauchy-type singular integral equations, by using the well known Gegenbauer polynomials. A large class of problems of mathematical physics, and especially several plane and antiplane elasticity problems, not possessing closed-form solutions, can be reduced to the solution of certain systems of such a type of singular integral equations. Also by using a certain method the new formula which is used for the numerical solution of the Cauchy-type integral equations can be extended for the general type of the finite-part singular integrals, too. © 1988 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Ingenieur-Archiv	en
dc.identifier.doi	10.1007/BF00537198	en
dc.identifier.isi	ISI:A1988M342700005	en
dc.identifier.volume	58	en
dc.identifier.issue	1	en
dc.identifier.spage	35	en
dc.identifier.epage	46	en