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Title: Explicit numerov type methods for second order IVPs with oscillating solutions
Authors: Παπαγεωργίου, Γεώργιος
Τσίτουρας, Χαράλαμπος
Φαμέλης, Ιωάννης Θ.
Item type: Journal article
Keywords: Initial value problems;Numerical solution;Προβλημάτων αρχικών τιμών;Αριθμητική λύση
Subjects: Electronics
Applied mathematics
Εφαρμοσμένα μαθηματικά
Issue Date: 13-Feb-2015
Publisher: World Scientific Publishing Co Pte Ltd
Abstract: New explicit hybrid Numerov type methods are presented in this paper. These efficient methods are constructed using a new approach, where we do not need the use of the intermediate high accuracy interpolatory nodes, since only the Taylor expansion of the internal points is needed. The methods share sixth algebraic order at a cost of five stages per step while their phase-lag order is 14 and partly satisfy the dissipation order conditions. It has be seen that the property of phase-lag is more important than the nonempty interval in constructing numerical methods for the solution of Schrödinger equation and related problems.1–3 Numerical results over some well known problems in physics and mechanics indicate the superiority of the new methods.
Language: English
Citation: Papageorgiou, G., Tsitouras, Ch. and Famelis, I. (June 2001). Explicit numerov type methods for second order IVPs with oscillating solutions. International Journal of Modern Physics C: computational physics and physical computation. 15(5). pp. 657-666. World Scientific Publishing Co Pte Ltd: 2001.
Journal: International Journal of Modern Physics C
Type of Journal: With a review process (peer review)
Access scheme: Embargo
License: Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες
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