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Optimization method for determining the source term in fractional diffusion equation

Author

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  • Ma, Yong-Ki
  • Prakash, P.
  • Deiveegan, A.

Abstract

In this paper, we determine a spacewise dependent source in one-dimensional fractional diffusion equation. On the basis of the optimal control method, the existence, uniqueness and stability of the minimizer for the cost functional are established. The Landweber iteration method is applied to the inverse problem.

Suggested Citation

  • Ma, Yong-Ki & Prakash, P. & Deiveegan, A., 2019. "Optimization method for determining the source term in fractional diffusion equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 168-176.
  • Handle: RePEc:eee:matcom:v:155:y:2019:i:c:p:168-176
    DOI: 10.1016/j.matcom.2018.03.003
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    References listed on IDEAS

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    1. Yang, Liu & Deng, Zui-Cha & Yu, Jian-Ning & Luo, Guan-Wei, 2009. "Optimization method for the inverse problem of reconstructing the source term in a parabolic equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(2), pages 314-326.
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    Cited by:

    1. Zhenping Li & Xiangtuan Xiong & Qiang Cheng, 2022. "Identifying the Unknown Source in Linear Parabolic Equation by a Convoluting Equation Method," Mathematics, MDPI, vol. 10(13), pages 1-17, June.

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