Search Results

• 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

  16217 1590 Pages:657-674

• Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations

  Jianfei Huang, Sadia Arshad, Yandong Jiao, Yifa Tang

  2019-06-03

  42320 3027 Pages:538-557

• A Fast Temporal Second-Order Compact ADI Scheme for Time Fractional Mixed Diffusion-Wave Equations

  Rui-Lian Du, Zhi-Zhong Sun

  2021-08-03

  46752 3273 Pages:647-673

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

  Wenping Yuan, Yanping Chen, Yunqing Huang

  2020-08-15

  50621 3229 Pages:818-837

• 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

  45786 4677 Pages:63-92

• High-Order Multi-Resolution WENO Schemes with Lax-Wendroff Method for Fractional Differential Equations

  Yan Zhang, Liang Li, Jun Zhu

  2023-04-25

  30264 2799 Pages:320-339

• Numerical Study of Time-Fractional Telegraph Equations of Transmission Line Modeling

  Wang Kong, Zhongyi Huang

  2022-08-17

  302575 3530 Pages:821-847

• Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations

  Jincheng Ren, Zhi-Zhong Sun

  2018-02-09

  38252 4193 Pages:242-266

• Convergence of Finite Difference Method in Positive Time for Multi-Term Time Fractional Differential Equations

  Haili Qiao, Aijie Cheng

  2020-08-15

  49119 3212 Pages:774-785

• 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

  41263 3280 Pages:723-754

• 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

  45941 3321 Pages:604-617

• 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

  37569 3300 Pages:131-151

• A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations

  Sadia Arshad, Dumitru Baleanu, Jianfei Huang, Yifa Tang, Yue Zhao

  2021-09-02

  43137 3318 Pages:764-781

• 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

  7269 621 Pages:835-866

• 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

  53450 4476 Pages:145-162

• Finite Difference Methods for Fractional Differential Equations on Non-Uniform Meshes

  Haili Qiao, Aijie Cheng

  2021-02-23

  45903 3222 Pages:255-275

• Fast Finite Difference Schemes for Time-Fractional Diffusion Equations with a Weak Singularity at Initial Time

  Jin-Ye Shen, Zhi-zhong Sun, Rui Du

  2021-09-02

  45540 3496 Pages:834-858

• A Weak Galerkin Finite Element Method for Multi-Term Time-Fractional Diffusion Equations

  Jun Zhou, Da Xu, Hongbin Chen

  2018-09-17

  40740 5169 Pages:181-193

• 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

  42075 4496 Pages:89-105

• 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

  30872 2920 Pages:340-360

• A Compact Difference Scheme for Fourth-Order Temporal Multi-Term Fractional Wave Equations and Maximum Error Estimates

  Guang-Hua Gao, Rui Liu

  2019-10-09

  40543 3226 Pages:703-722

• 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

  41743 4070 Pages:22-46

• Two-Grid Methods for Maxwell’s Equations in a Cole-Cole Dispersive Medium

  Nuodi Liu, Yanping Chen, Yunqing Huang

  2024-04-16

  21326 2063 Pages:371-396

• The Identification of the Time-Dependent Source Term in Time-Fractional Diffusion-Wave Equations

  Kai Fang Liao, Yu Shan Li, Ting Wei

  2019-03-26

  41579 3179 Pages:330-354

• Optimal Error Estimates in Numerical Solution of Time Fractional Schrödinger Equations on Unbounded Domains

  Zhi-Zhong Sun, Jiwei Zhang, Zhimin Zhang

  2021-09-02

  43307 3483 Pages:634-655

• Uniformly Stable Explicitly Solvable Finite Difference Method for Fractional Diffusion Equations

  Hongxing Rui, Jian Huang

  2018-02-09

  37738 4882 Pages:29-47

• Compact Difference Scheme for Time-Fractional Fourth-Order Equation with First Dirichlet Boundary Condition

  Mingrong Cui

  2019-01-07

  41750 5412 Pages:45-66