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• 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

• On the Recovery of Source Term for Fractional Evolution PDEs by MC-fPINNs

  Rui Sheng, Jerry Zhijian Yang, Cheng Yuan

  2025-05-16

  7324 476 Pages:487-520

• 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

  21342 1630 Pages:429-462

• 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 Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations

  Xian-Ming Gu, Yong-Liang Zhao, Xi-Le Zhao, Bruno Carpentieri, Yu-Yun Huang

  2021-09-10

  49087 2726 Pages:893-919

• 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

• 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

  39829 2664 Pages:337-357

• Spectral Optimization Methods for the Time Fractional Diffusion Inverse Problem

  Xingyang Ye & Chuanju Xu

  2013-06-01

  39804 3880 Pages:499-519

• 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

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

  Changtao Sheng & Jie Shen

  2021-01-13

  43292 2865 Pages:854-876

• 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