Search Results

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

  Xinyue Zhao, Ziqi Tu, Xiang Wang

  2025-10-22

  5358 313 Pages:1027-1065

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

  Changpin Li, Zhen Wang

  2023-01-21

  37860 2989 Pages:1099-1127

• 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

  40632 9016465 Pages:511-540

• The Variable-Step L1 Scheme Preserving a Compatible Energy Law for Time-Fractional Allen-Cahn Equation

  Hong-Lin Liao, Xiaohan Zhu, Jindi Wang

  2023-01-21

  36579 2860 Pages:1128-1146

• Spectral Optimization Methods for the Time Fractional Diffusion Inverse Problem

  Xingyang Ye & Chuanju Xu

  2013-06-01

  39891 3912 Pages:499-519

• Artificial Boundary Conditions for Time-Fractional Telegraph Equation

  Wang Kong, Zhongyi Huang

  2022-03-23

  46227 2970 Pages:360-386

• Linearized Transformed $L1$ Galerkin FEMs with Unconditional Convergence for Nonlinear Time Fractional Schrödinger Equations

  Wanqiu Yuan, Dongfang Li, Chengjian Zhang

  2023-04-10

  39469 2980 Pages:348-369

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

  Dongfang Li, Weiwei Sun, Chengda Wu

  2021-01-26

  48410 2832 Pages:355-376

• A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis

  Li Ma, Hongfei Fu, Bingyin Zhang, Shusen Xie

  2024-05-11

  21444 1655 Pages:429-462

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

  Maoping Wang, Weihua Deng

  2024-08-30

  17236 1380 Pages:751-776

• 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

  44084 2798 Pages:845-866

• Unconditional Convergence of Linearized TL1 Difference Methods for a Time-Fractional Coupled Nonlinear Schrödinger System

  Min Li, Dongfang Li, Ju Ming, A. S. Hendy

  2025-04-06

  6972 670 Pages:1-30

• 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

  6857 656 Pages:226-258

• Alternating Direction Implicit Galerkin Finite Element Method for the Two-Dimensional Time Fractional Evolution Equation

  Limei Li & Da Xu

  2014-07-01

  41155 4123 Pages:41-57

• Numerical Solution to the Multi-Term Time Fractional Diffusion Equation in a Finite Domain

  Gongsheng Li, Chunlong Sun, Xianzheng Jia & Dianhu Du

  2016-09-01

  39907 2745 Pages:337-357

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

  Changtao Sheng & Jie Shen

  2021-01-13

  43370 2893 Pages:854-876

• 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

  48712 2707 Pages:1168-1190

• Fast Evaluation of Linear Combinations of Caputo Fractional Derivatives and Its Applications to Multi-Term Time-Fractional Sub-Diffusion Equations

  Guanghua Gao, Qian Yang

  2020-03-09

  45909 2942 Pages:433-451

• 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

  44434 3550 Pages:200-226

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

  Jingjing Xiao, Yanping Chen, Fanhai Zeng, Zhongqiang Zhang

  2025-05-16

  7528 618 Pages:544-574

• A Fast Fully Discrete Mixed Finite Element Scheme for Fractional Viscoelastic Models of Wave Propagation

  Hao Yuan, Xiaoping Xie

  2025-12-17

  173 57 Pages:129-154

• 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

  42320 3188 Pages:679-714

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

  Hongmei Zhang & Shujun Shen

  2013-06-01

  40122 3637 Pages:571-585

• 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

  38780 2683 Pages:597-613

• 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

  48509 2743 Pages:945-971

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

  Martin Stynes

  2023-01-21

  40054 3024 Pages:1173-1192

• 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

  36178 2927 Pages:1063-1098