A Truncation Method Based on Hermite Expansion for Unknown Source in Space Fractional Diffusion Equation

被引：4
|
作者：
Zhao, Zhenyu [1 ]
Xie, Ou [1 ]
You, Lei [1 ]
Meng, Zehong [2 ]
机构：
[1] Guangdong Ocean Univ, Coll Sci, Zhanjiang 524088, Peoples R China
[2] Zhejiang Univ Finance & Econ, Sch Math & Stat, Hangzhou 310018, Zhejiang, Peoples R China
来源：
MATHEMATICAL MODELLING AND ANALYSIS | 2014年 / 19卷 / 03期
基金：
中国国家自然科学基金;
关键词：
ill-posed problem; unknown source; truncation method; Hermite functions expansion; discrepancy principle; SIDEWAYS HEAT-EQUATION; REGULARIZATION METHODS; DYNAMICS; WAVELET;
D O I：
10.3846/13926292.2014.929057
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider the problem for identifying an unknown steady source in a space fractional diffusion equation. A truncation method based on a Hermite function expansion is proposed, and the regularization parameter is chosen by a discrepancy principle. An error estimate between the exact solution and its approximation is given. A numerical implementation is discussed and corresponding results are presented to verify the effectiveness of the method.
引用
收藏
页码：430 / 442
页数：13
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