The backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder

被引：3

作者：

Shi, Chengxin ^{[1
]}

Cheng, Hao ^{[1
]}

Geng, Xiaoxiao ^{[1
]}

机构：

[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2023年 / 137卷

关键词：

Backward problem; Time-fractional diffusion-wave equation; Iterative regularization method; Error estimates; TRANSPORT;

D O I：

10.1016/j.camwa.2023.02.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder. This problem is ill-posed. In order to solve it stably, we give an iterative regularization method. The Holder error estimates are obtained under the a-priori and a-posteriori parameter choice rules. Numerical examples are presented to verify the effectiveness of our method.

引用

页码：44 / 60

页数：17

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