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

被引：24

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.

引用

页码：51 / 58

页数：8

共 27 条

[1] A collocation-shooting method for solving fractional boundary value problems [J].