An iterative method for solving fractional diffusion-wave equation involving the Caputo-Weyl fractional derivative

被引：2
|
作者：
Derakhshan, Mohammadhossein [1 ]
Aminataei, Azim [1 ]
机构：
[1] KN Toosi Univ Technol, Fac Math, POB 16765-3381, Tehran, Iran
来源：
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 2021年 / 28卷 / 02期
关键词：
diffusion‐ wave equation; fractional derivative; iterative method; DECOMPOSITION METHOD;
D O I：
10.1002/nla.2345
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a numerical scheme based on the iterative method for solving the fractional diffusion-wave equation involving the Caputo-Weyl fractional derivative of order 0 alpha <= 2. The convergence of the approximate solutions of the fractional diffusion-wave equation is rigourously established. Moreover, the approximate solutions of the fractional diffusion-wave equation have been presented graphically.
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收藏
页数：17
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