A modified fractional Landweber method for a backward problem for the inhomogeneous time-fractional diffusion equation in a cylinder

被引：10
|
作者：
Yang, Shuping [1 ]
Xiong, Xiangtuan [1 ]
Han, Yaozong [1 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou, Gansu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2020年 / 97卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Backward problem; modified fractional Landweber method; error estimate;
D O I：
10.1080/00207160.2020.1803297
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a backward problem for the inhomogeneous time-fractional diffusion equation in a cylinder. Such a problem is ill-posed. Based on the solution given by the separation of variables, we apply a modified fractional Landweber method to solve it. Error estimates are presented under the a-priori and the a-posteriori choice rules for regularization parameters, respectively. Relative to the classical Landweber method, the modified fractional Landweber method can reduce the total number of iterations to achieve the same accuracy. Numerical example is given to show the validity of the scheme.
引用
收藏
页码：2375 / 2393
页数：19
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