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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
The Fractional Tikhonov Regularization Method to Identify the Initial Value of the Nonhomogeneous Time-Fractional Diffusion Equation on a Columnar Symmetrical Domain 期刊论文
SYMMETRY-BASEL, 2022, 卷号: 14, 期号: 8
作者:  Chen, Yong-Gang;  Yang, Fan;  Li, Xiao-Xiao;  Li, Dun-Gang
收藏  |  浏览/下载:26/0  |  提交时间:2022/09/22
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:14/0  |  提交时间:2022/09/22
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:  Zhao, Yue;  Mao, Zhiping;  Guo, Ling;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载:9/0  |  提交时间:2023/02/07
Two Regularization Methods for Identifying the Source Term Problem on the Time-Fractional Diffusion Equation with a Hyper-Bessel Operator 期刊论文
ACTA MATHEMATICA SCIENTIA, 2022, 卷号: 42, 期号: 4, 页码: 1485-1518
作者:  Yang, Fan;  Sun, Qiaoxi;  Li, Xiaoxiao
收藏  |  浏览/下载:8/0  |  提交时间:2022/07/19
Fractional Landweber Iterative Regularization Method for Identifying the Unknown Source of the Time-Fractional Diffusion Problem 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2021, 卷号: 175, 期号: 1
作者:  Yang, Fan;  Fu, Jun-Liang;  Fan, Ping;  Li, Xiao-Xiao
收藏  |  浏览/下载:3/0  |  提交时间:2021/12/17
Three regularization methods for identifying the initial value of homogeneous anomalous secondary diffusion equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 卷号: 44, 期号: 17, 页码: 13723-13755
作者:  Yang, Fan;  Wu, Hang-Hang;  Li, Xiao-Xiao
收藏  |  浏览/下载:3/0  |  提交时间:2021/10/14
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
Identifying initial value problem for time-fractional diffusion equation with Caputo-like counterpart hyper-Bessel operator: Optimal error bound analysis and regularization method 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 卷号: 44, 期号: 8, 页码: -
作者:  Yang, Fan;  Sun, Qiao-Xi;  Li, Xiao-Xiao
收藏  |  浏览/下载:11/0  |  提交时间:2021/03/12
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


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