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 题名: Optimal error bound and simplified Tikhonov regularization method for a backward problem for the time-fractional diffusion equation 作者: Wang, JG; Wei, T(魏婷); Zhou, YB 收录类别: SCIE ; EI 出版日期: 2015-05-01 刊名: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 卷号: 279, 页码:277-292 出版者: ELSEVIER 出版地: AMSTERDAM 英文摘要: In this paper, we consider a backward problem for a time-fractional diffusion equation. Such a problem is ill-posed. The optimal error bound for the problem under a source condition is analyzed. A simplified Tikhonov regularization method is utilized to solve the problem, and its convergence rates are analyzed under an a priori regularization parameter choice rule and an a posteriori regularization parameter choice rule, respectively. Numerical examples show that the proposed regularization method is effective and stable, and both parameter choice rules work well. (C) 2014 Elsevier B.V. All rights reserved. 关键词: Inverse problem ; Fractional diffusion equation ; Optimal error bound ; Simplified Tikhonov regularization method ; Convergence analysis ; A posteriori parameter choice 作者部门: [Wang, Jun-Gang ; Wei, Ting ; Zhou, Yu-Bin] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 通讯作者: Wei, T (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China. 学科分类: Mathematics 文章类型: Article 所属项目编号: NSF of China [11371181, 11171136] ; Fundamental Research Funds for the Central Universities [lzujbky-2013-k02] 所属项目名称: 国家自然科学基金项目 ; 中央高校基本科研业务费专项资金 项目资助者: NSFC ; LZU 语种: 英语 DOI: 10.1016/j.cam.2014.11.026 ISSN号: 0377-0427 WOS记录号: WOS:000348259100022 EI记录号: 20145300385795 第一机构: 是 Citation statistics: 内容类型: 期刊论文 URI标识: http://ir.lzu.edu.cn/handle/262010/118975 Appears in Collections: 数学与统计学院_期刊论文

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 Recommended Citation: Wang, JG,Wei, T,Zhou, YB. Optimal error bound and simplified Tikhonov regularization method for a backward problem for the time-fractional diffusion equation[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2015,279:277-292.
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