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

页码：430 / 442

页数：13

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