Explicit Numerov type methods for second order IVPs with oscillating solutions

Papageorgiou, G; Tsitouras, Ch; Famelis, ITh

dc.contributor.author	Papageorgiou, G	en
dc.contributor.author	Tsitouras, Ch	en
dc.contributor.author	Famelis, ITh	en
dc.date.accessioned	2014-03-01T01:16:35Z
dc.date.available	2014-03-01T01:16:35Z
dc.date.issued	2001	en
dc.identifier.issn	0129-1831	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14093
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	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Physics, Mathematical	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	NUMERICAL-INTEGRATION	en
dc.subject.other	SCHRODINGER-EQUATION	en
dc.title	Explicit Numerov type methods for second order IVPs with oscillating solutions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1142/S0129183101001869	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S0129183101001869	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	New explicit hybrid Numerov type methods are presented in this paper. These efficient methods are constructed using a new approach, where we do not need the use of the intermediate high accuracy interpolatory nodes, since only the Taylor expansion of the internal points is needed. The methods share sixth algebraic order at a cost of five stages per step while their phase-lag order is 14 and partly satisfy the dissipation order conditions. It has be seen that the property of phase-lag is more important than the nonempty interval in constructing numerical methods for the solution of Schrodinger equation and related problems.(1-3) Numerical results over some well known problems in physics and mechanics indicate the superiority of the new methods.	en
heal.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD	en
heal.journalName	International Journal of Modern Physics C	en
dc.identifier.doi	10.1142/S0129183101001869	en
dc.identifier.isi	ISI:000170982800002	en
dc.identifier.volume	12	en
dc.identifier.issue	5	en
dc.identifier.spage	657	en
dc.identifier.epage	666	en