A numerical method for the one-dimensional Sine-Gordon equation

dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.date.accessioned	2015-06-04T20:20:29Z
dc.date.available	2015-06-04T20:20:29Z
dc.date.issued	2015-06-04
dc.identifier.uri	http://hdl.handle.net/11400/15126
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-s2.0-43249120157&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=11	en
dc.subject	Μέθοδος των πεπερασμένων διαφορών
dc.subject	προγνωστικός παράγοντας διόρθωσης
dc.subject	Σολιτόνιο
dc.subject	Finite-difference method
dc.subject	Predictor-corrector
dc.subject	Soliton
dc.title	A numerical method for the one-dimensional Sine-Gordon equation	en
heal.type	journalArticle
heal.classification	Επιστήμες
heal.classification	Μαθηματικά
heal.classification	Science
heal.classification	Mathematics
heal.classificationURI	N/A-Επιστήμες
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	http://skos.um.es/unescothes/C03532
heal.classificationURI	http://skos.um.es/unescothes/C02437
heal.identifier.secondary	DOI: 10.1002/num.20292
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	2008-05
heal.bibliographicCitation	Bratsos, A.G. (2008) A numerical method for the one-dimensional Sine-Gordon equation. Numerical Methods for Partial Differential Equations. [Online] 24 (3), pp.833-844. Available from: http://www.scopus.com [Accessed 04/06/2015]	en
heal.abstract	A numerical method based on a predictor-corrector (P-C) scheme arising from the use of rational approximants of order 3 to the matrix-exponential term in a three-time level recurrence relation is applied successfully to the one-dimensional sine-Gordon equation, already known from the bibliography. In this P-C scheme a modification in the corrector (MPC) has been proposed according to which the already evaluated corrected values are considered. The method, which uses as predictor an explicit finite-difference scheme arising from the second order rational approximant and as corrector an implicit one, has been tested numerically on the single and the soliton doublets. Both the predictor and the corrector schemes are analyzed for local truncation error and stability. From the investigation of the numerical results and the comparison of them with other ones known from the bibliography it has been derived that the proposed P-C/MPC schemes at least coincide in terms of accuracy with them.	en
heal.journalName	Numerical Methods for Partial Differential Equations	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true