Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation

被引：62
|
作者：
Abbaszadeh, Mostafa [1 ]
机构：
[1] Amirkabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, 424 Hafez Ave, Tehran 15914, Iran
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 88卷
关键词：
Finite difference method; Riesz space distributed-order diffusion equation; Unconditional stability; Convergence; TIME-FRACTIONAL DIFFUSION; ACCURATE NUMERICAL-METHOD; WAVE-EQUATIONS;
D O I：
10.1016/j.aml.2018.08.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the current paper, an error estimate has been proposed to find a secondorder finite difference scheme for solving the Riesz space distributed-order diffusion equation. The convergence order of the proposed method is O(tau(2)+ h(2)). The numerical results show the efficiency of the new technique. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：179 / 185
页数：7
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