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

Mehmet Fatih Karaaslan, Fatih Celiker and Muhammet Kurulay

Applied Mathematics and Computation, 2016, vol. 285, issue C, 51-58

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.

Keywords: Hybridizable discontinuous Galerkin methods; Bagley–Torvik equation; Fractional derivative; Fractional calculus (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:285:y:2016:i:c:p:51-58

DOI: 10.1016/j.amc.2016.03.024

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