Identifying an unknown source in time-fractional diffusion equation by a truncation method

被引：78

作者：

Zhang, Z. Q. ^{[1
]}

Wei, T. ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 11期

关键词：

Ill-posed problem; Fractional diffusion equation; Inverse source problem; Truncation method; Discrepancy principle; REGULARIZATION METHOD; ANOMALOUS DIFFUSION; CAUCHY-PROBLEM; RANDOM-WALKS; SOURCE-TERM; PRINCIPLE;

D O I：

10.1016/j.amc.2012.12.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an inverse source problem for the time-fractional diffusion equation is investigated. We prove a conditional stability for this problem. A truncation method is presented to deal with the ill-posedness of the problem and error estimates are obtained with an a priori strategy and an a posteriori choice rule to find the regularization parameter. Numerical examples show that the proposed method is effective and stable. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：5972 / 5983

页数：12