Quadratic stoermer-type methods for the solution of the boussinesq equation by the method of lines

dc.contributor.author	Τσίτουρας, Χαράλαμπος	el
dc.contributor.author	Φαμέλης, Ιωάννης Θ.	el
dc.date.accessioned	2015-02-14T09:58:58Z
dc.date.available	2015-02-14T09:58:58Z
dc.date.issued	2015-02-14
dc.identifier.uri	http://hdl.handle.net/11400/6199
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://onlinelibrary.wiley.com/	en
dc.subject	Differentiation matrices
dc.subject	Finite differences
dc.subject	Μήτρες διαφοροποίησης
dc.subject	Πεπερασμένες διαφορές
dc.title	Quadratic stoermer-type methods for the solution of the boussinesq equation by the method of lines	en
heal.type	journalArticle
heal.classification	Mathematics
heal.classification	Applied mathematics
heal.classification	Μαθηματικά
heal.classification	Εφαρμοσμένα μαθηματικά
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh85082139
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh93002523
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	N/A-Εφαρμοσμένα μαθηματικά
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85048348
heal.identifier.secondary	DOI: 10.1002/num.20317
heal.language	en
heal.access	campus
heal.recordProvider	Τ.Ε.Ι. Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ηλεκτρονικών Μηχανικών Τ.Ε.	el
heal.publicationDate	2008
heal.bibliographicCitation	Tsitouras, Ch. and Famelis, I. (September 2008). Quadratic stoermer-type methods for the solution of the boussinesq equation by the method of lines. Numerical Methods for Partial Differential Equations. 24(5). pp 1321-1328. Wiley Periodicals, Inc: 2008. Available from: http://onlinelibrary.wiley.com [Accessed 25/01/2008]	en
heal.abstract	We study the numerical treatment of Boussinesq PDE equation using the method of lines. For the space discretization, we choose either classical finite differences or Fourier pseudospectral methods. Both cases result in a system of second-order ordinary differential equations (ODEs) that is quadratic. In order to take advantage of this special feature, we choose to solve the ODE system using a new type of hybrid Numerov method specially constructed for such problems. Other efficient ODE solvers taken from the literature are used to solve the system of ODEs as well. By taking all the combinations of space discretization methods and ODE solvers, we discuss the stability and accuracy features revealed from the numerical tests.	en
heal.publisher	Wiley Periodicals, Inc	en
heal.journalName	Numerical Methods for Partial Differential Equations	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true