On the numerical solution of the Klein-Gordon equation

dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.date.accessioned	2015-06-04T19:32:54Z
dc.date.available	2015-06-04T19:32:54Z
dc.date.issued	2015-06-04
dc.identifier.uri	http://hdl.handle.net/11400/15120
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-s2.0-67849133137&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=5	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	On the numerical solution of the Klein-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.20383
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	2009-07
heal.bibliographicCitation	Bratsos, A.G. (2009) On the numerical solution of the Klein-Gordon equation. Numerical Methods for Partial Differential Equations. [Online] 25 (4), pp.939-951. Available from: http://www.scopus.com [Accessed 04/06/2015]	en
heal.abstract	A predictor-corrector (P-C) scheme based on the use of rational approximants of second-order to the matrixexponential term in a three-time level reccurence relation is applied to the nonlinear Klein-Gordon equation. This scheme is accelerated by using a modification (MPC) in which the already evaluated values are used for the corrector. Both the predictor and the corrector scheme are analyzed for local truncation error and stability. The proposed method is applied to problems possessing periodic, kinks and single, double-soliton waves. The accuracy as well as the long time behavior of the proposed scheme is discussed.	en
heal.journalName	Numerical Methods for Partial Differential Equations	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true