JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (8): 77-83.doi: 10.6040/j.issn.1671-9352.0.2022.626
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Wenhui DU(),Xiangtuan XIONG*()
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1 |
LIUJ J,YAMAMOTOM.A backward problem for the time-fractional diffusion equation[J].Applicable Analysis,2010,89(11):1769-1788.
doi: 10.1080/00036810903479731 |
2 | WANGL Y,LIUJ J.Data regularization for a backward time-fractional diffusion problem[J].Computers & Mathematics with Applications,2012,64(11):3613-3626. |
3 |
XIONGX T,XUEX M.A fractional Tikhonov regularization method for identifying a space-dependent source in the time-fractional diffusion equation[J].Applied Mathematics and Computation,2019,349,292-303.
doi: 10.1016/j.amc.2018.12.063 |
4 |
WENJ,LIUZ X,WANGS S.Conjugate gradient method for simultaneous identification of the source term and initial data in a time-fractional diffusion equation[J].Applied Mathematics in Science and Engineering,2022,30(1):324-338.
doi: 10.1080/27690911.2022.2075358 |
5 |
PODLUBNYI.Fractional differential equations[J].Mathematics in Science and Engineering,1999,198,41-119.
doi: 10.1016/S0076-5392(99)80021-6 |
6 |
RUANZ S,YANGJ Z,LUX L.Tikhonov regularisation method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation[J].East Asian Journal on Applied Mathematics,2015,5(3):273-300.
doi: 10.4208/eajam.310315.030715a |
7 |
SAOULIN,ZOUYEDF.A modified Tikhonov regularization method for a class of inverse parabolic problems[J].Analeleştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică,2020,28(1):181-504.
doi: 10.2478/auom-2020-0013 |
8 |
BIANCHID,BUCCINIA,DONATELLIM,et al.Iterated fractional Tikhonov regularization[J].Inverse Problems,2015,31(5):055005.
doi: 10.1088/0266-5611/31/5/055005 |
9 |
YANGShuping,XIONGXiangtuan,NIEYan.Iterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equation[J].Applied Numerical Mathematics,2021,160,217-241.
doi: 10.1016/j.apnum.2020.10.008 |
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