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

  15904 1409 Pages:657-674

• A Denoising-Decomposition Model Combining TV Minimisation and Fractional Derivatives

  Donghuan Jiang, Xuejian Wang, Guangbao Xu & Jianqiang Lin

  2018-09-17

  39728 3271 Pages:447-462

• A Local Fractional Taylor Expansion and Its Computation for Insufficiently Smooth Functions

  Zhifang Liu, Tongke Wang & Guanghua Gao

  2018-02-09

  35409 3255 Pages:176-191

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

  Guang-Hua Gao, Rui Liu

  2019-10-09

  40294 3155 Pages:703-722

• An Efficient Feature-Preserving Image Denoising Algorithm Based on a Spatial-Fractional Anisotropic Diffusion Equation

  Maoyuan Xu, Xiaoping Xie

  2021-08-03

  43939 3028 Pages:788-807

• 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

  41517 3929 Pages:22-46

• Generalised Müntz Spectral Galerkin Methods for Singularly Perturbed Fractional Differential Equations

  Sun Tao, Rui-Qing Liu, Li-Lian Wang

  2021-09-02

  50714 3698 Pages:611-633

• 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

• 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

• 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

• 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

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

  Mingrong Cui

  2019-01-07

  41478 5286 Pages:45-66

• 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

  45266 3405 Pages:834-858

• 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 Fast Finite Volume Method on Locally Refined Meshes for Fractional Diffusion Equations

  Jinhong Jia, Hong Wang

  2019-10-09

  39917 3106 Pages:755-779

• A Compact Difference Scheme for Time-Fractional Dirichlet Biharmonic Equation on Temporal Graded Meshes

  Mingrong Cui

  2020-11-24

  45260 4277 Pages:164-180