文章基本信息

标题：Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain
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作者：Fan Yang ; Pan Zhang ; Xiao-Xiao Li 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-16
DOI：10.1186/s13662-020-2542-1
出版社：Hindawi Publishing Corporation
摘要：In this paper, we deal with the inverse problem of identifying the unknown source of time-fractional diffusion equation on a columnar symmetric domain. This problem is ill-posed. Firstly, we establish the conditional stability for this inverse problem. Then the regularization solution is obtained by using the Tikhonov regularization method and the error estimates are derived under the a priori and a posteriori choice rules of the regularization parameter. Three numerical examples are presented to illustrate the validity and effectiveness of our method.
关键词：Time-fractional diffusion equation;Ill-posed problem;Regularization method;Error estimate;