The solution of the two-dimensional sine-Gordon equation using the method of lines

dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.date.accessioned	2015-06-05T17:06:54Z
dc.date.available	2015-06-05T17:06:54Z
dc.date.issued	2015-06-05
dc.identifier.uri	http://hdl.handle.net/11400/15165
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-s2.0-34249277434&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=16	en
dc.subject	Σύγκλιση των αριθμητικών μεθόδων
dc.subject	Ανάλυση σφάλματος
dc.subject	Μέθοδος πεπερασμένων διαφορών
dc.subject	Προβλήματα αρχικών τιμών
dc.subject	Γραμμική ανάλυση ευστάθειας
dc.subject	Convergence of numerical methods
dc.subject	Error analysis (Mathematics)
dc.subject	Finite differences
dc.subject	Initial value problems
dc.subject	Linear stability analysis
dc.title	The solution of the two-dimensional sine-Gordon equation using the method of lines	en
heal.type	journalArticle
heal.classification	Μαθηματικά
heal.classification	Εφαρμοσμένα μαθηματικά
heal.classification	Mathematics
heal.classification	Applied mathematics
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	N/A-Εφαρμοσμένα μαθηματικά
heal.classificationURI	http://skos.um.es/unescothes/C02437
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh93002523
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85044724
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85048348
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85066415
heal.identifier.secondary	DOI: 10.1016/j.cam.2006.07.002
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	2007-09-01
heal.bibliographicCitation	Bratsos, A.G. (2007) The solution of the two-dimensional sine-Gordon equation using the method of lines. Journal of Computational and Applied Mathematics. [Online] 206 (1), pp.251-277. Available from: http://www.scopus.com [Accessed 05/06/2015]	en
heal.abstract	The method of lines is used to transform the initial/boundary-value problem associated with the two-dimensional sine-Gordon equation in two space variables into a second-order initial-value problem. The finite-difference methods are developed by replacing the matrix-exponential term in a recurrence relation with rational approximants. The resulting finite-difference methods are analyzed for local truncation error, stability and convergence. To avoid solving the nonlinear system a predictor-corrector scheme using the explicit method as predictor and the implicit as corrector is applied. Numerical solutions for cases involving the most known from the bibliography line and ring solitons are given.	en
heal.publisher	Elsevier	en
heal.journalName	Journal of Computational and Applied Mathematics	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true