文章基本信息

标题：Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion equation
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作者：Fan Yang ; Xiao Liu ; 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：2017
卷号：2017
期号：1
页码：388
DOI：10.1186/s13662-017-1423-8
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we investigate an inverse problem to determine an unknown source term that has a separable-variable form in the time-fractional diffusion equation, whereby the data is obtained at a certain time. This problem is ill-posed, and we use the Landweber iterative regularization method to solve this inverse source problem. Two kinds of convergence rates are obtained by using an a priori and an a posteriori regularization parameters choice rules, respectively. Numerical examples are provided to show the effectiveness of the proposed method.
关键词：time-fractional diffusion equation ; ill-posed problem ; unknown source ; Landweber iterative method