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

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Karaaslan M. F., Celiker F., Kurulay M.

APPLIED MATHEMATICS AND COMPUTATION, vol.285, pp.51-58, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 285
  • Publication Date: 2016
  • Doi Number: 10.1016/j.amc.2016.03.024
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.51-58
  • Keywords: Hybridizable discontinuous Galerkin methods, Bagley-Torvik equation, Fractional derivative, Fractional calculus, WAVELET OPERATIONAL MATRIX, BOUNDARY-VALUE-PROBLEMS, NUMERICAL-SOLUTION, HDG METHODS, ORDER
  • Yıldız Technical University Affiliated: Yes

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. (C) 2016 Elsevier Inc. All rights reserved.