An iterative generalized quasi-boundary value regularization method for the backward problem of time fractional diffusion-wave equation in a cylinder

被引:4
作者
Shi, Chengxin [1 ]
Cheng, Hao [1 ]
Fan, Wenping [1 ]
机构
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China
关键词
Backward problem; Time fractional diffusion-wave equation; Iterative generalized quasi-boundary value regularization method; Convergence rates; INVERSE SOURCE PROBLEM; RADIAL DIFFUSION;
D O I
10.1007/s11075-023-01549-2
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 a time fractional diffusion-wave equation in a cylinder. The ill-posedness and a conditional stability of the inverse problem are proved. Based on the generalized quasi-boundary value regularization method, we propose an iterative generalized quasi-boundary value regularization method to deal with the inverse problem, and this iterative method has a higher convergence rate. The convergence rates of the regularized solution under an a priori regularization parameter choice rule and an a posteriori regularization parameter choice rule are obtained. Numerical examples illustrate the effectiveness and stability of our proposed method.
引用
收藏
页码:1619 / 1651
页数:33
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