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The method of simplified Tikhonov regularization for a time-fractional inverse diffusion problem

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  • Yang, Fan
  • Fu, Chu-Li
  • Li, Xiao-Xiao

Abstract

In this paper, we consider a time-fractional inverse diffusion problem, where the data are given at x=1 and the solution is required in the interval 0

Suggested Citation

  • Yang, Fan & Fu, Chu-Li & Li, Xiao-Xiao, 2018. "The method of simplified Tikhonov regularization for a time-fractional inverse diffusion problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 219-234.
    • Handle: RePEc:eee:matcom:v:144:y:2018:i:c:p:219-234
    DOI: 10.1016/j.matcom.2017.08.004
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    References listed on IDEAS

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    1. Metzler, Ralf & Klafter, Joseph, 2000. "Boundary value problems for fractional diffusion equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 278(1), pages 107-125.
    2. Raberto, Marco & Scalas, Enrico & Mainardi, Francesco, 2002. "Waiting-times and returns in high-frequency financial data: an empirical study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 749-755.
    3. Zheng, G.H. & Wei, T., 2010. "Spectral regularization method for the time fractional inverse advection–dispersion equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(1), pages 37-51.
    4. Zhang, Z.Q. & Wei, T., 2013. "An optimal regularization method for space-fractional backward diffusion problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 92(C), pages 14-27.
    5. Cheng, Wei & Fu, Chu-Li & Qian, Zhi, 2007. "A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(3), pages 97-112.
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    Cited by:

    1. Wang, Yan & Qian, Zhi, 2023. "A quasi-reversibility method for solving a two-dimensional time-fractional inverse heat conduction problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 423-440.

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