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  • A Local Discontinuous Galerkin Method for Time-Fractional Burgers Equations

    Wenping Yuan, Yanping Chen, Yunqing Huang
    2020-08-15
    50379 3149 Pages:818-837
  • Numerical Solution of the Time-Fractional Sub-Diffusion Equation on an Unbounded Domain in Two-Dimensional Space

    Hongwei Li, Xiaonan Wu & Jiwei Zhang
    2018-03-19
    37730 3194 Pages:439-454
  • A Fast Temporal Second-Order Compact ADI Scheme for Time Fractional Mixed Diffusion-Wave Equations

    Rui-Lian Du, Zhi-Zhong Sun
    2021-08-03
    46519 3219 Pages:647-673
  • Numerical Study of Time-Fractional Telegraph Equations of Transmission Line Modeling

    Wang Kong, Zhongyi Huang
    2022-08-17
    302377 3445 Pages:821-847
  • $L2-1_\sigma$ Finite Element Method for Time-Fractional Diffusion Problems with Discontinuous Coefficients

    Yanping Chen, Xuejiao Tan, Yunqing Huang
    2023-10-23
    28051 2560 Pages:813-834
  • Identifying the Order and a Space Source Term in a Time Fractional Diffusion-Wave Equation

    Ting Wei, Jianming Xu, Xi Yue
    2025-10-23
    4251 84 Pages:168-203
  • Optimal Error Estimates in Numerical Solution of Time Fractional Schrödinger Equations on Unbounded Domains

    Zhi-Zhong Sun, Jiwei Zhang & Zhimin Zhang
    2021-09-02
    43099 3424 Pages:634-655
  • A Weak Galerkin Finite Element Method for Multi-Term Time-Fractional Diffusion Equations

    Jun Zhou, Da Xu & Hongbin Chen
    2018-09-17
    40497 5032 Pages:181-193
  • Lubich Second-Order Methods for Distributed-Order Time-Fractional Differential Equations with Smooth Solutions

    Rui Du, Zhao-Peng Hao, Zhi-Zhong Sun
    2018-02-09
    37391 3218 Pages:131-151
  • Tikhonov Regularisation Method for Simultaneous Inversion of the Source Term and Initial Data in a Time-Fractional Diffusion Equation

    Zhousheng Ruan, Jerry Zhijian Yang & Xiliang Lu
    2018-02-09
    35790 3236 Pages:273-300
  • Efficient Numerical Solution of the Multi-Term Time Fractional Diffusion-Wave Equation

    Jincheng Ren & Zhi-Zhong Sun
    2018-02-09
    38434 4811 Pages:1-28
  • Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations

    Jincheng Ren, Zhi-Zhong Sun
    2018-02-09
    38082 4134 Pages:242-266
  • High Order Difference Schemes for a Time Fractional Differential Equation with Neumann Boundary Conditions

    Seakweng Vong & Zhibo Wang
    2018-02-09
    38665 4476 Pages:222-241
  • High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation

    Fenling Wang, Yanmin Zhao, Zhengguang Shi, Yanhua Shi, Yifa Tang
    2019-10-09
    40727 3073 Pages:797-817
  • A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients

    Huijun Fan, Yanmin Zhao, Fenling Wang, Yanhua Shi, Yifa Tang
    2020-11-24
    45565 4573 Pages:63-92
  • A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations

    Chunhua Zhang, Haiwei Sun
    2021-05-26
    45735 3263 Pages:604-617
  • A Support Vector Machine Method for Two Time-Scale Variable-Order Time-Fractional Diffusion Equations

    Zhiwei Yang, Huan Liu, Xu Guo, Hong Wang
    2021-10-25
    53221 4334 Pages:145-162
  • A Generalized Quasi-Boundary Value Method for an Inverse Source Problem in a Distributed Order Time-Fractional Diffusion Equation

    Wenjie Wu, Ting Wei
    2025-06-18
    6820 505 Pages:835-866
  • A Second-Order Accurate Implicit Difference Scheme for Time Fractional Reaction-Diffusion Equation with Variable Coefficients and Time Drift Term

    Yong-Liang Zhao, Pei-Yong Zhu, Xian-Ming Gu, Xi-Le Zhao
    2019-10-09
    41025 3190 Pages:723-754
  • A Fractional Tikhonov Regularisation Method for Finding Source Terms in a Time-Fractional Radial Heat Equation

    Shuping Yang & Xiangtuan Xiong
    2019-03-26
    39769 3029 Pages:386-408
  • A Numerical Method for the Time Fractional Model of Generalised Second Grade Fluid Through Porous Media

    Mohammad Tanzil Hasan & Yumin Lin
    2021-09-02
    40811 3280 Pages:809-833
  • A Space-Time Petrov-Galerkin Spectral Method for Time Fractional Fokker-Planck Equation with Nonsmooth Solution

    Wei Zeng, Aiguo Xiao, Weiping Bu, Junjie Wang, Shucun Li
    2020-05-04
    41870 4379 Pages:89-105
  • An Alternative Finite Difference Stability Analysis for a Multiterm Time-Fractional Initial-Boundary Value Problem

    Xiaohui Liu, Martin Stynes
    2020-06-12
    44354 3370 Pages:427-436
  • Convergence of Finite Difference Method in Positive Time for Multi-Term Time Fractional Differential Equations

    Haili Qiao, Aijie Cheng
    2020-08-15
    48901 3153 Pages:774-785
  • A Compact Difference Scheme for Time-Fractional Dirichlet Biharmonic Equation on Temporal Graded Meshes

    Mingrong Cui
    2020-11-24
    45260 4277 Pages:164-180
  • Laplace-fPINNs: Laplace-Based Fractional Physics-Informed Neural Networks for Solving Forward and Inverse Problems of a Time Fractional Equation

    Xiong-Bin Yan, Zhi-Qin John Xu, Zheng Ma
    2024-09-27
    15904 1409 Pages:657-674
  • Compact Difference Scheme for Time-Fractional Fourth-Order Equation with First Dirichlet Boundary Condition

    Mingrong Cui
    2019-01-07
    41478 5286 Pages:45-66
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