Search Results

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

  Marta D’Elia, Mamikon Gulian

  2023-01-21

  46482 3231 Pages:851-875

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

  Hongmei Zhang & Shujun Shen

  2013-06-01

  40049 3595 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

  44329 3474 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

  47662 2841 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

  41602 3617 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

  7324 476 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

  49087 2726 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

  21342 1630 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

  44012 2739 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

  45797 2873 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

  39829 2664 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

  6698 552 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

  42008 3178 Pages:565-591

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

  Xuelei Lin, Michael K. Ng & Haiwei Sun

  2021-01-13

  43035 2867 Pages:827-853

• Spectral Optimization Methods for the Time Fractional Diffusion Inverse Problem

  Xingyang Ye & Chuanju Xu

  2013-06-01

  39804 3880 Pages:499-519

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

  Xu Guo & Leevan Ling

  2018-09-17

  51086 2824 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

  36900 2970 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

  48632 2673 Pages:1168-1190

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

  Changtao Sheng & Jie Shen

  2021-01-13

  43292 2865 Pages:854-876

• 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

  42721 3777 Pages:276-296

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

  Andrea Bonito, Wenyu Lei

  2023-01-21

  46313 3276 Pages:1193-1218

• 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

• 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

  39104 2655 Pages:541-561

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

  Yubo Yang & Heping Ma

  2018-09-17

  41156 2755 Pages:338-353