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An optimal regularization method for space-fractional backward diffusion problem


  • Zhang, Z.Q.
  • Wei, T.


In this paper, a space-fractional backward diffusion problem (SFBDP) in a strip is considered. By the Fourier transform, we proposed an optimal modified method to solve this problem in the presence of noisy data. The convergence estimates for the approximate solutions with the regularization parameter selected by an a priori and an a posteriori strategy are provided, respectively. Numerical experiments show that the proposed methods are effective and stable.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:matcom:v:92:y:2013:i:c:p:14-27
    DOI: 10.1016/j.matcom.2013.04.008

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    References listed on IDEAS

    1. 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.
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    1. repec:eee:matcom:v:144:y:2018:i:c:p:219-234 is not listed on IDEAS


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