Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation

被引：0
|
作者：
Leilei Wei
Huiya Dai
Dingling Zhang
Zhiyong Si
机构：
[1] Henan University of Technology,College of Science
[2] Sun Yat-sen University,School of Engineering
[3] Henan Polytechnic University,School of Mathematics and Information Science
来源：
Calcolo | 2014年 / 51卷
关键词：
Fractional telegraph equation; Local discontinuous Galerkin method; Stability; Error estimates; 35Q99; 65M60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper aims to develop a fully discrete local discontinuous Galerkin finite element method for numerical simulation of the time-fractional telegraph equation, where the fractional derivative is in the sense of Caputo. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. The stability and convergence of this discontinuous approach are discussed and theoretically proven. Finally numerical examples are performed to illustrate the effectiveness and the accuracy of the method.
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页码：175 / 192
页数：17
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