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

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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