A difference scheme for the time-fractional diffusion equation on a metric star graph

被引：31
作者：
Mehandiratta, Vaibhav [1 ]
Mehra, Mani [1 ]
机构：
[1] Indian Inst Technol, Dept Math, Delhi, India
来源：
APPLIED NUMERICAL MATHEMATICS | 2020年 / 158卷
关键词：
Time-fractional diffusion equation; Finite difference method; Stability; Convergence; Star graph; DOMAIN DECOMPOSITION; NETWORKS; STRINGS;
D O I：
10.1016/j.apnum.2020.07.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose an unconditionally stable numerical scheme based on finite difference for the approximation of time-fractional diffusion equation on a metric star graph. The fractional derivative is considered in Caputo sense and the so-called L1 method is used for the discrete approximation of Caputo fractional derivative. The convergence and stability of the difference scheme has been proved by means of energy method. Test examples are illustrated in order to verify the feasibility of the proposed scheme. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：152 / 163
页数：12
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