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

Mathematical Modelling and Analysis

Lei You¹  Ou Xiea¹  Zhenyu Zhao¹  Zehong Meng² 

[1] College of Science, Guangdong Ocean University 524088 Zhanjiang, China;School of Mathematics and Statistics, Zhejiang University of Finance and Economics 310018 Hangzhou, China;

关键词: ill-posed problem;    unknown source;    truncation method;    Hermite functions expansion;    discrepancy principle;   

DOI  :  10.3846/13926292.2014.929057

来源: DOAJ

【 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.

【 授权许可】

Unknown