Cubic splines method for solving fourth-order obstacle problems

Al-Said, EA; Noor, MA; Rassias, TM

dc.contributor.author	Al-Said, EA	en
dc.contributor.author	Noor, MA	en
dc.contributor.author	Rassias, TM	en
dc.date.accessioned	2014-03-01T01:23:45Z
dc.date.available	2014-03-01T01:23:45Z
dc.date.issued	2006	en
dc.identifier.issn	0096-3003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17133
dc.subject	Convergence	en
dc.subject	Cubic splines	en
dc.subject	Obstacle problems	en
dc.subject	System of differential equations	en
dc.subject	Variational inequalities	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Approximation theory	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Finite difference method	en
dc.subject.other	Splines	en
dc.subject.other	Convergence	en
dc.subject.other	Cubic splines	en
dc.subject.other	Faedo-Galerkin approximation and convergence	en
dc.subject.other	Obstacle problems	en
dc.subject.other	System of differential equations	en
dc.subject.other	Variational inequalities	en
dc.subject.other	Problem solving	en
dc.title	Cubic splines method for solving fourth-order obstacle problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.amc.2005.03.022	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.amc.2005.03.022	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	In this paper, we develop a new cubic spline method for computing approximate solution of a system of fourth-order boundary value problems associated with obstacle, unilateral and contact problems. It is shown that the present method is of order two and gives approximations which are better than those produced by some other collocation, finite difference and spline methods. Numerical examples are presented to illustrate the applicability of the new method. (c) 2005 Elsevier Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Applied Mathematics and Computation	en
dc.identifier.doi	10.1016/j.amc.2005.03.022	en
dc.identifier.isi	ISI:000236151200013	en
dc.identifier.volume	174	en
dc.identifier.issue	1	en
dc.identifier.spage	180	en
dc.identifier.epage	187	en