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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:11/0  |  提交时间:2023/02/07
Dual-phase-lag thermoelastic diffusion analysis of a size-dependent microplate based on modified fractional-order heat conduction model 期刊论文
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2022
作者:  Tian, Lingchen;  Peng, Wei;  He, Tianhu
收藏  |  浏览/下载:13/0  |  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:11/0  |  提交时间:2023/02/07
A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 1, 页码: 63-92
作者:  Fan, Huijun;  Zhao, Yanmin;  Wang, Fenling;  Shi, Yanhua;  Tang, Yifa
收藏  |  浏览/下载:29/0  |  提交时间:2021/01/14
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
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 159, 页码: 159-173
作者:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
收藏  |  浏览/下载:13/0  |  提交时间:2021/01/14
Investigation on the generalized thermoelastic-diffusive problem with variable properties in three different memory-dependent effect theories 期刊论文
WAVES IN RANDOM AND COMPLEX MEDIA, 2021
作者:  Peng, Wei;  He, Tianhu
收藏  |  浏览/下载:3/0  |  提交时间:2022/03/01
The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation 期刊论文
Journal of Computational and Applied Mathematics, 2020, 卷号: 380
作者:  Yang, Fan;  Pu, Qu;  Li, Xiao-Xiao
收藏  |  浏览/下载:9/0  |  提交时间:2022/02/17
Error estimate on the tanh meshes for the time fractional diffusion equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2020, 页码: 21
作者:  Zhang, Jiali;  Huang, Jizu;  Wang, Kun;  Wang, Xin
收藏  |  浏览/下载:9/0  |  提交时间:2021/01/14
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


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