期刊论文详细信息
Mathematical Modelling and Analysis | |
A Truncation Method Based on Hermite Expansion for Unknown Source in Space Fractional Diffusion Equation | |
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