A linearized finite-difference scheme for the numerical solution of the nonlinear cubic Schrödinger equation

dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.date.accessioned	2015-06-05T18:08:57Z
dc.date.available	2015-06-05T18:08:57Z
dc.date.issued	2015-06-05
dc.identifier.uri	http://hdl.handle.net/11400/15179
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://link.springer.com/article/10.1007/BF02941979	en
dc.subject	Μέθοδος των πεπερασμένων διαφορών
dc.subject	Μη γραμμική κυβικά εξίσωση Schrödinger
dc.subject	Σολιτόνια
dc.subject	Finite differences
dc.subject	Nonlinear cubic Schrödinger equation
dc.subject	Solitons
dc.title	A linearized finite-difference scheme for the numerical solution of the nonlinear cubic Schrödinger equation	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/sh85048348
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85124672
heal.identifier.secondary	DOI: 10.1007/BF02941979
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	2001-09
heal.bibliographicCitation	Bratsos, A.G. (2001) A linearized finite-difference scheme for the numerical solution of the nonlinear cubic Schrödinger equation. Korean Journal of Computational and Applied Mathematics. [Online] 8 (3), pp.459-467. Available from: http://link.springer.com [Accessed 05/06/2015]	en
heal.abstract	A linearized finite-difference scheme is used to transform the initial/boundary-value problem associated with the nonlinear Schrödinger equation into a linear algebraic system. This method is developed by replacing the time and the space partial derivatives by parametric finite-difference replacements and the nonlinear term by an appropriate parametric linearized scheme based on Taylor's expansion. The resulting finite-difference method is analysed for stability and convergence. The results of a number of numerical experiments for the single-soliton wave are given.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Korean Journal of Computational and Applied Mathematics	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true