A hybridizable discontinuous Galerkin method for a class of fractional boundary value problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:333

Article

Karaaslan, Mehmet Fatih¹  Celiker, Fatih²  Kurulay, Muhammet³ 

[1] Yildiz Tech Univ, Dept Stat, Istanbul, Turkey

[2] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

[3] Yildiz Tech Univ, Dept Math Engn, Istanbul, Turkey

关键词: Hybridizable discontinuous Galerkin methods;    Fractional boundary value problems;    Caputo derivative;   

DOI  :  10.1016/j.cam.2017.09.043

来源: Elsevier

【 摘 要 】

In this paper, we present a hybridizable discontinuous Galerkin (HDG) method for solving a class of fractional boundary value problems involving Caputo derivatives. The HDG methods have the computational advantage of eliminating all internal degrees of freedom and the only globally coupled unknowns are those at the element interfaces. Furthermore, the global stiffness matrix is tridiagonal, symmetric, and positive definite. Internal degrees of freedom are recovered at an element-by-element postprocessing step. We carry out a series of numerical experiments to ascertain the performance of the proposed method. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free