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

被引：39

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.

引用

页码：741 / 747

页数：7

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