The solution of the Boussinesq equation using the method of lines

dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.date.accessioned	2015-06-05T18:45:36Z
dc.date.available	2015-06-05T18:45:36Z
dc.date.issued	2015-06-05
dc.identifier.uri	http://hdl.handle.net/11400/15188
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-s2.0-0345020345&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=28	en
dc.subject	Προβλήματα συνοριακών τιμών
dc.subject	Σύγκλιση των αριθμητικών μεθόδων
dc.subject	Ανάλυση σφάλματος
dc.subject	Μαθηματικές μεταμορφώσεις
dc.subject	Μέθοδος πεπερασμένων διαφορών
dc.subject	Boundary value problems
dc.subject	Convergence of numerical methods
dc.subject	Error analysis (Mathematics)
dc.subject	Mathematical transformations
dc.subject	Finite differences
dc.title	The solution of the Boussinesq equation using the method of lines	en
heal.type	journalArticle
heal.classification	Μηχανική
heal.classification	Μαθηματικά
heal.classification	Engineering
heal.classification	Mathematics
heal.classificationURI	N/A-Μηχανική
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	http://skos.um.es/unescothes/C01363
heal.classificationURI	http://skos.um.es/unescothes/C02437
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85016102
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85044724
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85048348
heal.identifier.secondary	DOI: 10.1016/S0045-7825(97)00211-9
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	1998-04-28
heal.bibliographicCitation	Bratsos, A.G. (1998) The solution of the Boussinesq equation using the method of lines. Computer Methods in Applied Mechanics and Engineering. [Online] 157 (1-2), pp.33-44. 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 nonlinear hyperbolic Boussinesq equation, into a first-order, nonlinear, initial-value problem. Numerical methods are developed by replacing the matrix-exponential terms 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. The method of lines is used to transform the initial/boundary-value problem associated with the nonlinear hyperbolic Boussinesq 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 analyzed for local truncation errors, stability and convergence. The results of a number of numerical experiments are given.	en
heal.publisher	Elsevier	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true