A second order numerical scheme for the solution of the one-dimensional Boussinesq equation

dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.date.accessioned	2015-06-05T17:16:09Z
dc.date.available	2015-06-05T17:16:09Z
dc.date.issued	2015-06-05
dc.identifier.uri	http://hdl.handle.net/11400/15166
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-s2.0-35648972091&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=17	en
dc.subject	Εξίσωση Boussinesq
dc.subject	Μέθοδος των πεπερασμένων διαφορών
dc.subject	προγνωστικός παράγοντας διόρθωσης
dc.subject	Σολιτόνια
dc.subject	Boussinesq equation
dc.subject	Finite differences
dc.subject	Predictor-corrector
dc.subject	Solitons
dc.title	A second order numerical scheme for the solution of the one-dimensional Boussinesq equation	en
heal.type	journalArticle
heal.classification	Μαθηματικά
heal.classification	Πληροφορική
heal.classification	Mathematics
heal.classification	Computer science
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	N/A-Πληροφορική
heal.classificationURI	http://skos.um.es/unescothes/C02437
heal.classificationURI	http://skos.um.es/unescothes/C00750
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85048348
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85124672
heal.identifier.secondary	DOI: 10.1007/s11075-007-9126-y
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
heal.bibliographicCitation	Bratsos, A.G. (2007) A second order numerical scheme for the solution of the one-dimensional Boussinesq equation. Numerical Algorithms. [Online] 46 (1), pp.45-58. Available from: http://www.scopus.com [Accessed 05/06/2015]	en
heal.abstract	A predictor-corrector (P-C) scheme is applied successfully to a nonlinear method arising from the use of rational approximants to the matrix-exponential term in a three-time level recurrence relation. The resulting nonlinear finite-difference scheme, which is analyzed for local truncation error and stability, is solved using a P-C scheme, in which the predictor and the corrector are explicit schemes of order 2. This scheme is accelerated by using a modification (MPC) in which the already evaluated values are used for the corrector. The behaviour of the P-C/MPC schemes is tested numerically on the Boussinesq equation already known from the bibliography free of boundary conditions. The numerical results are derived for both the bad and the good Boussinesq equation and conclusions from the relevant known results are derived.	en
heal.publisher	Springer US	en
heal.journalName	Numerical Algorithms	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true