An improved numerical scheme for the sine-Gordon equation in 2+1 dimensions

dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.date.accessioned	2015-06-04T20:03:08Z
dc.date.available	2015-06-04T20:03:08Z
dc.date.issued	2015-06-04
dc.identifier.uri	http://hdl.handle.net/11400/15124
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	http://www.scopus.com/record/display.url?origin=recordpage&eid=2-s2.0-50449092707&citeCnt=0&noHighlight=false&sort=plf-f&src=s&sid=2DCF200B00379677732236F1AFC88BE5.ZmAySxCHIBxxTXbnsoe5w%3a3440&sot=autdocs&sdt=autdocs&sl=18&s=AU-ID%2815724401200%29&relpos=9	en
dc.subject	δίκτυα υπολογιστών
dc.subject	Πυκνότητα
dc.subject	Ηλεκτρικό ρεύμα
dc.subject	Γραμμικά συστήματα
dc.subject	Μη Γραμμικά Συστημάτα
dc.subject	Computer networks
dc.subject	Density
dc.subject	Electric currents
dc.subject	Linear systems
dc.subject	Nonlinear systems
dc.title	An improved numerical scheme for the sine-Gordon equation in 2+1 dimensions	en
heal.type	journalArticle
heal.classification	Μηχανική
heal.classification	Μαθηματικά
heal.classification	Engineering
heal.classification	Mathematics
heal.classificationURI	N/A-Μηχανική
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	http://skos.um.es/unescothes/C01363
heal.classificationURI	http://skos.um.es/unescothes/C02437
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85041640
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85077183
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh96001350
heal.identifier.secondary	DOI: 10.1002/nme.2276
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	2008-08
heal.bibliographicCitation	Bratsos, A.G. (2008) An improved numerical scheme for the sine-Gordon equation in 2+1 dimensions. International Journal for Numerical Methods in Engineering. [Online] 75 (7), pp.787-799. Available from: http://www.scopus.com [Accessed 04/06/2015]	en
heal.abstract	A rational approximant of order 4, which is applied to a three-time-level recurrence relation, is used to transform the initial/ boundary-value problem associated with the two-dimensional sine-Gordon (SG) equation arising in the Josephson junctions problem. The resulting non-linear system, which is analyzed for stability, is solved using an appropriate predictor-corrector (P-C) scheme, in which an explicit scheme of order 2 is used as predictor. For the implementation of the corrector, in order to avoid extended matrix evaluations, an auxiliary vector was successfully introduced. In this P-C scheme, a modification in the corrector has been proposed according to which the already evaluated corrected values are considered. The behavior of this P-C scheme is tested numerically on line and ring solitons known from the bibliography regarding the SG equation and conclusions for both undamped and damped problems are derived.	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true