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• L1/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation

  Changpin Li, Zhen Wang

  2023-01-21

  37742 2939 Pages:1099-1127

• Galerkin Finite Element Approximation for Semilinear Stochastic Time-Tempered Fractional Wave Equations with Multiplicative Gaussian Noise and Additive Fractional Gaussian Noise

  Yajing Li, Yejuan Wang, Weihua Deng, Daxin Nie

  2023-01-21

  36078 2886 Pages:1063-1098

• High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations

  Xia Ji & Huazhong Tang

  2012-05-01

  41602 3617 Pages:333-358

• Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations

  Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun

  2022-02-09

  44329 3474 Pages:200-226

• A Unified Fast Memory-Saving Time-Stepping Method for Fractional Operators and Its Applications

  Yuxiang Huang, Qiaoge Li, Rongxin Li, Fanhai Zeng, Ling Guo

  2022-07-19

  42200 3147 Pages:679-714

• The Numerical Simulation of Space-Time Variable Fractional Order Diffusion Equation

  Hongmei Zhang & Shujun Shen

  2013-06-01

  40049 3595 Pages:571-585

• Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

  Mingrong Cui

  2019-04-22

  44012 2739 Pages:845-866

• Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation

  Cui-Cui Ji, Weizhong Dai

  2023-04-10

  40530 9016436 Pages:511-540

• L1 Schemes for Time-Fractional Differential Equations: A Brief Survey and New Development

  Jingjing Xiao, Yanping Chen, Fanhai Zeng, Zhongqiang Zhang

  2025-05-16

  7344 513 Pages:544-574

• A Biquadratic Characteristic Finite Volume Element Method for Time-Fractional Convection-Dominated Equations

  Xinyue Zhao, Ziqi Tu, Xiang Wang

  2025-10-22

  3799 253 Pages:1027-1065

• Stability and Convergence Analyses of the FDM Based on Some L-Type Formulae for Solving the Subdiffusion Equation

  Reza Mokhtari, Mohadese Ramezani, Gundolf Haase

  2021-09-10

  48407 2678 Pages:945-971

• Artificial Boundary Conditions for Time-Fractional Telegraph Equation

  Wang Kong, Zhongyi Huang

  2022-03-23

  46136 2939 Pages:360-386

• A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

  Dongfang Li, Weiwei Sun, Chengda Wu

  2021-01-26

  48296 2799 Pages:355-376

• A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

  Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang

  2021-06-02

  47662 2841 Pages:738-772

• An Unconditionally Stable and High-Order Convergent Difference Scheme for Stokes' First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative

  Cuicui Ji & Zhizhong Sun

  2017-10-01

  38727 2661 Pages:597-613

• Spectral Analysis for Preconditioning of Multi-Dimensional Riesz Fractional Diffusion Equations

  Xin Huang, Xue-Lei Lin, Michael K. Ng, Hai-Wei Sun

  2022-07-19

  42008 3178 Pages:565-591

• Fourier Convergence Analysis for a Fokker-Planck Equation of Tempered Fractional Langevin-Brownian Motion

  Maoping Wang, Weihua Deng

  2024-08-30

  17146 1355 Pages:751-776

• Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy

  Junying Cao, Zhenning Cai

  2020-10-09

  48248 4188 Pages:71-112

• A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

  Hong Sun, Zhi-zhong Sun, Rui Du

  2019-10-12

  48632 2673 Pages:1168-1190

• Finite Element Approximation of Space Fractional Optimal Control Problem with Integral State Constraint

  Zhaojie Zhou, Jiabin Song, Yanping Chen

  2020-12-02

  47926 2901 Pages:1027-1049

• Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations

  Jun Liu, Hongfei Fu, Bingyin Zhang, Jiansong Zhang

  2025-04-06

  6698 552 Pages:226-258

• Convergence Analysis of a Block-by-Block Method for Fractional Differential Equations

  Jianfei Huang, Yifa Tang & Luis Vázquez

  2018-08-14

  42307 3896 Pages:229-241

• A Survey of the L1 Scheme in the Discretisation of Time-Fractional Problems

  Martin Stynes

  2023-01-21

  39883 2902 Pages:1173-1192

• A Space-Time Petrov-Galerkin Spectral Method for Time Fractional Diffusion Equation

  Changtao Sheng & Jie Shen

  2021-01-13

  43292 2865 Pages:854-876

• A Simple Semi-Implicit Scheme for Partial Differential Equations with Obstacle Constraints

  Hao Liu, Shingyu Leung

  2020-03-16

  43839 2889 Pages:620-643