Analysis of local discontinuous Galerkin method for time-space fractional sine-Gordon equations

被引：15
作者：
Ahmadinia, M. [1 ]
Safari, Z. [1 ]
机构：
[1] Univ Qom, Fac Sci, Dept Math, Isfahan Old Rd,POB 37185-3766, Qom, Iran
来源：
APPLIED NUMERICAL MATHEMATICS | 2020年 / 148卷
关键词：
Local discontinuous Galerkin method; Finite difference method; Fractional partial differential equations; Stability; Error estimate; DIFFUSION EQUATION; ANOMALOUS DIFFUSION; COLLOCATION METHOD; DIFFERENCE SCHEME; ORDER; SUPERCONVERGENCE; SUBDIFFUSION; OPERATORS;
D O I：
10.1016/j.apnum.2019.08.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of the present paper is to introduce a numerical method for time-space fractional sine-Gordon equation. The fractional derivative on the space and on the time are considered in the sense of Reimann-Liouville (of order 1 <= beta <= 2) and in the sense of Caputo (of variable order 1 <= alpha (t) <= 2), respectively. The basic idea is to apply local discontinuous Galerkin method in space and a finite difference method in time. The stability and convergence analysis of the method are presented. Numerical results show that the accuracy and reliability of the proposed method for time-space fractional sine-Gordon equation. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：1 / 17
页数：17
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