JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (12): 120-126.doi: 10.6040/j.issn.1671-9352.0.2018.607

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Fractional Tikhonov method of a non-characteristic Cauchy problem for a parabolic equation

CHEN Ya-wen, XIONG Xiang-tuan*   

  1. College of Mathematics and Statistics Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2019-12-11

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Abstract: The ill-posed non-characteristic Cauchy problem for a parabolic equation is considered. A fractional Tikhonov regularization method is applied to solve the the problem. Some stability error estimates under for a-poriori and a-posteriori choice rules are given.

Key words: ill-posed problem, parabolic equation, fractional Tikhonov method, error estimation

CLC Number: 

  • O241.1
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