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Title: On the numerical solution of improved boussinesq equation by the method of lines
Authors: Φαμέλης, Ιωάννης Θ.
Item type: Conference publication
Conference Item Type: Full Paper
Keywords: Method of Lines;Linearized problem;Μέθοδος γραμμών;Γραμμικοποιημένο πρόβλημα
Subjects: Electronics
Applied mathematics
Εφαρμοσμένα μαθηματικά
Issue Date: 12-Feb-2015
Publisher: AIP Publishing
Abstract: We study the numerical treatment of the Improved Boussinesq PDE equation using the methods 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). We choose to solve the ODE system using a hybrid Numerov method specially constructed for oscillatory problems. In our numerical tests we discuss the stability and accuracy features revealed for one and two soliton solutions.
Description: AIP Conference Proceedings 1168
Language: English
Citation: Famelis, I. (2009). On the numerical solution of improved boussinesq equation by the method of lines. In the International Conference Of Numerical Analysis And Applied Mathematics. Rethymnon, 18th-22nd September 2009. AIP Publishing: 2009. pp. 127-130.
Conference: International Conference Of Numerical Analysis And Applied Mathematics
Access scheme: Embargo
License: Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες
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