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

页码：1 / 17

页数：17

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