A modified predictor-corrector scheme for the Klein-Gordon equation

dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.contributor.author	Πετράκης, Λεωνίδας Α.	el
dc.date.accessioned	2015-06-04T19:22:02Z
dc.date.available	2015-06-04T19:22:02Z
dc.date.issued	2015-06-04
dc.identifier.uri	http://hdl.handle.net/11400/15119
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-s2.0-77954650215&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=4	en
dc.subject	Ρητό σύστημα
dc.subject	Σχήμα πεπερασμένων διαφορών
dc.subject	Τοπικό σφάλμα αποκοπής
dc.subject	Τροποποιημένο πρόγραμμα
dc.subject	προγνωστικός παράγοντας διόρθωσης
dc.subject	Explicit scheme
dc.subject	Finite-difference scheme
dc.subject	Local truncation errors
dc.subject	Modified scheme
dc.subject	Predictor corrector
dc.title	A modified predictor-corrector scheme for 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: 10.1080/00207160802545890
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	2010-07
heal.bibliographicCitation	Bratsos, A.G. and Petrakis, L.A. (2010) A modified predictor-corrector scheme for the Klein-Gordon equation. International Journal of Computer Mathematics. [Online] 87 (8), pp.1892-1904. Available from: http://www.scopus.com [Accessed 04/06/2015]	en
heal.abstract	A numerical method based on a three-time level finite-difference scheme has been proposed for the solution of the two forms of the Klein-Gordon equation. The method, which is analysed for local truncation error and stability, leads to the solution of a nonlinear system. To avoid solving it, a predictor-corrector scheme using as predictor a second-order explicit scheme is proposed. The procedure of the corrector is modified by considering, as known, the already evaluated corrected values instead of the predictor ones. This modified scheme is applied to problems possessing periodic, kinks and soliton waves. The accuracy as well as the long-time behaviour of the proposed scheme is discussed and comparisons with the relevant known in the bibliography schemes are given.	en
heal.publisher	Taylor & Francis	en
heal.journalName	International Journal of Computer Mathematics	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true