Explicit Numerov type methods with reduced number of stages

Tsitouras, Ch

dc.contributor.author	Tsitouras, Ch	en
dc.date.accessioned	2014-03-01T01:18:59Z
dc.date.available	2014-03-01T01:18:59Z
dc.date.issued	2003	en
dc.identifier.issn	0898-1221	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15301
dc.subject	Hybrid methods	en
dc.subject	Initial value problem	en
dc.subject	Numerical solution	en
dc.subject	Two step methods	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Algebra	en
dc.subject.other	Approximation theory	en
dc.subject.other	Interpolation	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Runge Kutta methods	en
dc.subject.other	Hybrid methods	en
dc.subject.other	Initial value problems	en
dc.title	Explicit Numerov type methods with reduced number of stages	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0898-1221(03)80005-6	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0898-1221(03)80005-6	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	We present in this paper a new approach for the derivation of hybrid explicit Numerov type methods. The new methodology does not require the intermediate use of high accuracy interpolatory nodes, since we only need the Taylor expansion of the internal points. As a consequence, a sixth-order method is produced at a cost of only four stages per step instead of six stages needed for the methods which have appeared in the literature until now. Numerical results over some well-known problems in physics and mechanics indicate the superiority of the new method. (C) 2003 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Mathematics with Applications	en
dc.identifier.doi	10.1016/S0898-1221(03)80005-6	en
dc.identifier.isi	ISI:000181299700005	en
dc.identifier.volume	45	en
dc.identifier.issue	1-3	en
dc.identifier.spage	37	en
dc.identifier.epage	42	en