An efficient and simple approximate technique for solving nonlinear initial and boundary-value problems

Kounadis, AN

dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:08:39Z
dc.date.available	2014-03-01T01:08:39Z
dc.date.issued	1992	en
dc.identifier.issn	01787675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10630
dc.subject	Approximation Scheme	en
dc.subject	Boundary Value Problem	en
dc.subject	Error Estimate	en
dc.subject	Initial Value Problem	en
dc.subject	Ordinary Differential Equation	en
dc.subject	Upper Bound	en
dc.subject.other	Mathematical Techniques--Numerical Methods	en
dc.subject.other	Structural Analysis	en
dc.subject.other	Nonlinear Ordinary Differential Equations	en
dc.subject.other	Postbuckling Response	en
dc.subject.other	Mathematical Techniques	en
dc.title	An efficient and simple approximate technique for solving nonlinear initial and boundary-value problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00350188	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00350188	en
heal.publicationDate	1992	en
heal.abstract	An efficient and easily applicable, approximate analytic technique for the solution of nonlinear initial and boundary-value problems associated with nonlinear ordinary differential equations (O.D.E.) of any order and variable coefficients, is presented. Convergence, uniqueness and upper bound error estimates of solutions, obtained by the successive approximations scheme of the proposed technique, are thoroughly established. Important conclusions regarding the improvement of convergence for large time and large displacement solutions in case of nonlinear initial-value problems are also assessed. The proposed technique is much more efficient than the perturbations schemes for establishing the large postbuckling response of structural systems. The efficiency, simplicity and reliability of the proposed technique is demonstrated by two illustrative examples for which available numerical results exist. © 1992 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/BF00350188	en
dc.identifier.volume	9	en
dc.identifier.issue	3	en
dc.identifier.spage	221	en
dc.identifier.epage	231	en