A posteriori regularization parameter choice rule for the quasi-boundary value method for the backward time-fractional diffusion problem

被引：34
|
作者：
Wang, Jun-Gang [1 ]
Zhou, Yu-Bin [1 ]
Wei, Ting [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 07期
关键词：
Backward problem; Fractional diffusion equation; Quasi-boundary value method; Convergence analysis; A posteriori parameter choice rule; PARABOLIC EQUATIONS BACKWARD; CAUCHY-PROBLEM; TRANSPORT;
D O I：
10.1016/j.aml.2013.02.006
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 a time-fractional diffusion equation with variable coefficients in a general bounded domain. That is to determine the initial data from a noisy final data. We propose a quasi-boundary value regularization method combined with an a posteriori regularization parameter choice rule to deal with the backward problem and give the corresponding convergence estimate. (C) 2013 Elsevier Ltd. All rights reserved.
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页码：741 / 747
页数：7
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