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Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 400, 页码: 17
作者:  Guo, Ling;  Wu, Hao;  Yu, Xiaochen;  Zhou, Tao
收藏  |  浏览/下载:10/0  |  提交时间:2023/02/07
Fast Compact Difference Scheme for Solving the Two-Dimensional Time-Fractional Cattaneo Equation 期刊论文
FRACTAL AND FRACTIONAL, 2022, 卷号: 6, 期号: 8
作者:  Nong, Lijuan;  Yi, Qian;  Cao, Jianxiong;  Chen, An
收藏  |  浏览/下载:15/0  |  提交时间:2022/09/22
The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation 期刊论文
NUMERICAL ALGORITHMS, 2021, 卷号: 87, 期号: 3, 页码: 1229-1255
作者:  Yang, Fan;  Pu, Qu;  Li, Xiao-Xiao
收藏  |  浏览/下载:6/0  |  提交时间:2021/10/14
Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data 期刊论文
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2021, 卷号: 16
作者:  Nong, Lijuan;  Chen, An;  Cao, Jianxiong
收藏  |  浏览/下载:10/0  |  提交时间:2021/04/12
Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method 期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2021, 卷号: 29, 期号: 12, 页码: 2040-2084
作者:  Yang, Fan;  Wang, Qian-Chao;  Li, Xiao-Xiao
收藏  |  浏览/下载:12/0  |  提交时间:2021/06/03
Space-time finite element method for the distributed-order time fractional reaction diffusion equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 446-465
作者:  Bu, Weiping;  Ji, Lun;  Tang, Yifa;  Zhou, Jie
收藏  |  浏览/下载:16/0  |  提交时间:2020/05/24
The Quasi-Boundary Value Method for Identifying the Initial Value of the Space-Time Fractional Diffusion Equation 期刊论文
ACTA MATHEMATICA SCIENTIA, 2020, 卷号: 40, 期号: 3, 页码: 641-658
作者:  Yang, Fan;  Zhang, Yan;  Liu, Xiao;  Li, Xiaoxiao
收藏  |  浏览/下载:5/0  |  提交时间:2022/03/01
Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation 期刊论文
NUMERICAL ALGORITHMS, 2020, 卷号: 83, 期号: 4, 页码: 1509-1530
作者:  Yang, Fan;  Zhang, Yan;  Li, Xiao-Xiao
收藏  |  浏览/下载:7/0  |  提交时间:2020/06/02
Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain 期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 卷号: 2020, 期号: 1
作者:  Yang, Fan;  Zhang, Pan;  Li, Xiao-Xiao;  Ma, Xin-Yi
收藏  |  浏览/下载:5/0  |  提交时间:2020/06/02
On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020, 卷号: 27, 期号: 1, 页码: 21
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载:20/0  |  提交时间:2020/06/30


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