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  • 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
    41109 3236 Pages:723-754
  • Neural Network Method for Integral Fractional Laplace Equations

    Zhaopeng Hao, Moongyu Park, Zhiqiang Cai
    2023-01-04
    40795 4113 Pages:95-118
  • 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
    40818 3093 Pages:797-817
  • 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
    45829 3286 Pages:604-617
  • A Fast Two-Level Strang Splitting Method for Multi-Dimensional Spatial Fractional Allen-Cahn Equations with Discrete Maximum Principle

    Yao-Yuan Cai, Zhi-Wei Fang, Hao Chen, Hai-Wei Sun
    2023-04-25
    30720 2870 Pages:340-360
  • Stability and Convergence of $L1$-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation

    Yanping Chen, Xiuxiu Lin, Mengjuan Zhang, Yunqing Huang
    2023-01-04
    41618 3990 Pages:22-46
  • Exact Traveling Wave Solutions of a Fractional Sawada-Kotera Equation

    Muhammad Arshad, Dianchen Lu, Jun Wang & Abdullah
    2018-09-17
    42310 3237 Pages:211-223
  • Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations

    Jincheng Ren, Zhi-Zhong Sun
    2018-02-09
    38148 4164 Pages:242-266
  • A Conservative Difference Scheme for Space Fractional Klein-Gordon-Schrödinger Equations with a High-Degree Yukawa Interaction

    Junjie Wang, Aiguo Xiao & Chenxi Wang
    2021-09-02
    40275 3480 Pages:715-745
  • A Jacobi-Galerkin Spectral Method for Computing the Ground and First Excited States of Nonlinear Fractional Schrödinger Equation

    Ying Ma, Lizhen Chen
    2020-04-01
    42108 3134 Pages:274-294
  • Conservative Numerical Schemes for the Nonlinear Fractional Schrödinger Equation

    Longbin Wu, Qiang Ma, Xiaohua Ding
    2021-05-26
    45541 3138 Pages:560-579
  • A Fast Algorithm for the Caputo Fractional Derivative

    Kun Wang & Jizu Huang
    2021-09-02
    43016 3600 Pages:656-677
  • A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation

    Pin Lyu, Seakweng Vong & Zhibo Wang
    2021-07-02
    37172 3400 Pages:752-766
  • An Inverse Source Non-Local Problem for a Mixed Type Equation with a Caputo Fractional Differential Operator

    E. Karimov, N. Al-Salti & S. Kerbal
    2018-03-19
    35880 3020 Pages:417-438
  • Multilevel Circulant Preconditioner for High-Dimensional Fractional Diffusion Equations

    Siu-Long Lei, Xu Chen & Xinhe Zhang
    2018-02-09
    37767 3288 Pages:109-130
  • Crank-Nicolson ADI Finite Difference Method for Three-Dimensional Nonlinear Partial Integro-Differential Equations with Weak Singular Kernels

    Yanping Chen, Ruru Wang, Leijie Qiao
    2025-06-18
    6911 517 Pages:867-889
  • Optimal Convergence Rates in Time-Fractional Discretisations: The ${\rm L1}$, $\overline{{\rm L1}}$ and Alikhanov Schemes

    Yongtao Zhou & Martin Stynes
    2022-04-06
    52086 3478 Pages:503-520
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