An a posteriori Fourier regularization method for identifying the unknown source of the space-fractional diffusion equation

被引：33
|
作者：
Li, Xiao-Xiao [1 ]
Lei, Jin Li [1 ]
Yang, Fan [1 ]
机构：
[1] Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
基金：
中国国家自然科学基金;
关键词：
unknown source; space-fractional diffusion equation; Fourier regularization method; a posteriori parameter choice; error estimate; DEPENDENT HEAT-SOURCE; INVERSE SOURCE PROBLEM; SOURCE-TERM; DIFFERENCE APPROXIMATIONS; ANOMALOUS DIFFUSION; RANDOM-WALK;
D O I：
10.1186/1029-242X-2014-434
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we identify the unknown source which depends only on spatial variable for a fractional diffusion equation using the Fourier method. Not alike the previous literature, we propose to choose the regularization parameter by an a posteriori rule, with which we can obtain error estimate of Holder type between the exact solution and the regularized approximation. Numerical simulations show that the proposed scheme is effective and stable.
引用
收藏
页数：13
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