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

被引：21
作者：
Karaaslan, Mehmet Fatih [1 ]
Celiker, Fatih [2 ]
Kurulay, Muhammet [3 ]
机构：
[1] Yildiz Tech Univ, Dept Stat, Istanbul, Turkey
[2] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
[3] Yildiz Tech Univ, Dept Engn Math, Istanbul, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 285卷
基金：
美国国家科学基金会;
关键词：
Hybridizable discontinuous Galerkin methods; Bagley-Torvik equation; Fractional derivative; Fractional calculus; WAVELET OPERATIONAL MATRIX; BOUNDARY-VALUE-PROBLEMS; NUMERICAL-SOLUTION; HDG METHODS; ORDER;
D O I：
10.1016/j.amc.2016.03.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：51 / 58
页数：8
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