Approximate solution of the Bagley-Torvik equation by hybridizable discontinuous Galerkin methods

Mehmet Fatih Karaaslan*, Fatih Celiker, Muhammet Kurulay

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

Abstract

In this paper, we introduce a hybridizable discontinuous Galerkin method for numerically solving a boundary value problem associated with the Bagley-Torvik equation that arises in the study of the motion of a plate immersed in a Newtonian fluid. One of the main features of these methods is that they are efficiently implementable since it is possible to eliminate all internal degrees of freedom and obtain a global linear system that only involves unknowns at the element interfaces. We display the results of a series of numerical experiments to ascertain the performance of the method.

Original languageEnglish
Pages (from-to)51-58
Number of pages8
JournalApplied Mathematics and Computation
Volume285
DOIs
Publication statusPublished - 20 Jul 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc. All rights reserved.

Keywords

  • Bagley-Torvik equation
  • Fractional calculus
  • Fractional derivative
  • Hybridizable discontinuous Galerkin methods

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