Zero dissipative, explicit Numerov-type methods for second order IVPs with oscillating solutions

Simos, TE; Famelis, IT; Tsitouras, C

dc.contributor.author	Simos, TE	en
dc.contributor.author	Famelis, IT	en
dc.contributor.author	Tsitouras, C	en
dc.date.accessioned	2014-03-01T01:19:42Z
dc.date.available	2014-03-01T01:19:42Z
dc.date.issued	2003	en
dc.identifier.issn	1017-1398	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15674
dc.subject	Hybrid Numerov methods	en
dc.subject	Initial value problems (IVP)	en
dc.subject	Numerical solution	en
dc.subject	Phase-lag	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	INITIAL-VALUE-PROBLEMS	en
dc.subject.other	MINIMAL PHASE-LAG	en
dc.subject.other	NOUMEROV-TYPE METHOD	en
dc.subject.other	SCHRODINGER-EQUATION	en
dc.subject.other	NUMERICAL-INTEGRATION	en
dc.subject.other	RUNGE-KUTTA	en
dc.subject.other	ORDER METHODS	en
dc.subject.other	PAIRS	en
dc.title	Zero dissipative, explicit Numerov-type methods for second order IVPs with oscillating solutions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1026167824656	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1026167824656	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	New explicit, zero dissipative, hybrid Numerov type methods are presented in this paper. We derive these methods using an alternative which avoids the use of costly high accuracy interpolatory nodes. We only need the Taylor expansion at some internal points then. The method is of sixth algebraic order at a cost of seven stages per step while their phase lag order is fourteen. The zero dissipation condition is satisfied, so the methods possess an non empty interval of periodicity. Numerical results over some well known problems in physics and mechanics indicate the superiority of the new method.	en
heal.publisher	KLUWER ACADEMIC PUBL	en
heal.journalName	Numerical Algorithms	en
dc.identifier.doi	10.1023/A:1026167824656	en
dc.identifier.isi	ISI:000185858300003	en
dc.identifier.volume	34	en
dc.identifier.issue	1	en
dc.identifier.spage	27	en
dc.identifier.epage	40	en