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.
Zhao, Z., Xiea, O., You, L., & Meng, Z. (2014). A Truncation Method Based on Hermite Expansion for Unknown Source in Space Fractional Diffusion Equation. Mathematical Modelling and Analysis, 19(3), 430-442. https://doi.org/10.3846/13926292.2014.929057
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