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

    Zhenyu Zhao Info
    Ou Xiea Info
    Lei You Info
    Zehong Meng Info
DOI: https://doi.org/10.3846/13926292.2014.929057

Abstract

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.

Keywords:

ill-posed problem, unknown source, truncation method, Hermite functions expansion, discrepancy principle

How to Cite

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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June 1, 2014
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2014-06-01

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How to Cite

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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