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

dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.contributor.author	Twizell, E.H.	en
dc.date.accessioned	2015-06-05T19:08:29Z
dc.date.available	2015-06-05T19:08:29Z
dc.date.issued	2015-06-05
dc.identifier.uri	http://hdl.handle.net/11400/15192
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.tandfonline.com/doi/pdf/10.1080/00207169608804516	en
dc.subject	Προσέγγιση θεωρίας
dc.subject	Προβλήματα συνοριακών τιμών
dc.subject	Σύγκλιση των αριθμητικών μεθόδων
dc.subject	Ανάλυση σφάλματος
dc.subject	Μέθοδος πεπερασμένων διαφορών
dc.subject	Approximation theory
dc.subject	Boundary value problems
dc.subject	Convergence of numerical methods
dc.subject	Error analysis (Mathematics)
dc.subject	Finite difference method
dc.title	The solution of the 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/sh85006190
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85016102
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85044724
heal.identifier.secondary	DOI: 10.1080/00207169608804516
heal.language	en
heal.access	free
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	1996
heal.bibliographicCitation	Bratsos, A.G. and Twizell, E.H. (1996) The solution of the sine-Gordon equation using the method of lines. International Journal of Computer Mathematics. [Online] 61 (3-4), pp.271-292. Available from: http://www.tandfonline.com [Accessed 05/06/2015]	en
heal.abstract	The method of lines is used to transform the initial/boundary-value problem associated with the nonlinear hyperbolic sine-Gordon equation, into a first-order, nonlinear, initial-value problem. Numerical methods are developed by replacing the matrix-exponential term in a recurrence relation by rational approximants. The resulting finite-difference methods are analysed for local truncation errors, stability and convergence. The results of a number of numerical experiments are given.	el
heal.publisher	Taylor & Francis	en
heal.journalName	International Journal of Computer Mathematics	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true