Search Results

• Analysis of Anisotropic Nonlocal Diffusion Models: Well-Posedness of Fractional Problems for Anomalous Transport

  Marta D’Elia, Mamikon Gulian

  2023-01-21

  46709 3296 Pages:851-875

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

  Hongmei Zhang, Shujun Shen

  2013-06-01

  40252 3668 Pages:571-585

• 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

  44567 3625 Pages:200-226

• 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

  47879 2896 Pages:738-772

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

  Xia Ji, Huazhong Tang

  2012-05-01

  41801 3686 Pages:333-358

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

  Rui Sheng, Jerry Zhijian Yang, Cheng Yuan

  2025-05-16

  7646 577 Pages:487-520

• 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

  49330 2795 Pages:893-919

• 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

  21590 1690 Pages:429-462

• 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

  44213 2851 Pages:845-866

• 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

  46042 3001 Pages:433-451

• 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

  40008 2775 Pages:337-357

• 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

  7027 746 Pages:226-258

• 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

  42251 3276 Pages:565-591

• A Separable Preconditioner for Time-Space Fractional Caputo-Riesz Diffusion Equations

  Xuelei Lin, Michael K. Ng, Haiwei Sun

  2021-01-13

  43258 2954 Pages:827-853

• Spectral Optimization Methods for the Time Fractional Diffusion Inverse Problem

  Xingyang Ye, Chuanju Xu

  2013-06-01

  40025 3944 Pages:499-519

• Evaluation Finite Moment Log-Stable Option Pricing by a Spectral Method

  Xu Guo, Leevan Ling

  2018-09-17

  51269 2884 Pages:437-452

• Stability of Spike Solutions to the Fractional Gierer-Meinhardt System in a One-Dimensional Domain

  Daniel Gomez, Jun-Cheng Wei, Wen Yang

  2023-01-21

  37125 3036 Pages:938-989

• 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

  48828 2746 Pages:1168-1190

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

  Changtao Sheng, Jie Shen

  2021-01-13

  43482 2931 Pages:854-876

• Approximation of the Spectral Fractional Powers of the Laplace-Beltrami Operator

  Andrea Bonito, Wenyu Lei

  2023-01-21

  46549 3369 Pages:1193-1218

• An Adaptive Strategy for the Restoration of Textured Images Using Fractional Order Regularization

  R. H. Chan, A. Lanza, S. Morigi, F. Sgallari

  2013-06-01

  42931 3886 Pages:276-296

• The Legendre Galerkin-Chebyshev Collocation Method for Space Fractional Burgers-Like Equations

  Yubo Yang, Heping Ma

  2018-09-17

  41359 2821 Pages:338-353

• 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

  48653 2785 Pages:945-971

• A Numerical Approximation Structured by Mixed Finite Element and Upwind Fractional Step Difference for Semiconductor Device with Heat Conduction and Its Numerical Analysis

  Yirang Yuan, Qing Yang, Changfeng Li, Tongjun Sun

  2017-10-01

  39284 2710 Pages:541-561