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• A Second Order Numerical Scheme for Fractional Option Pricing Models

  Ling-Xi Zhang, Ren-Feng Peng, Jun-Feng Yin

  2021-02-23

  43843 3197 Pages:326-348

• A Second-Order Accurate Implicit Difference Scheme for Time Fractional Reaction-Diffusion Equation with Variable Coefficients and Time Drift Term

  Yong-Liang Zhao, Pei-Yong Zhu, Xian-Ming Gu, Xi-Le Zhao

  2019-10-09

  41265 3286 Pages:723-754

• Neural Network Method for Integral Fractional Laplace Equations

  Zhaopeng Hao, Moongyu Park, Zhiqiang Cai

  2023-01-04

  40931 4220 Pages:95-118

• High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation

  Fenling Wang, Yanmin Zhao, Zhengguang Shi, Yanhua Shi, Yifa Tang

  2019-10-09

  40968 3126 Pages:797-817

• A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations

  Chunhua Zhang, Haiwei Sun

  2021-05-26

  45945 3324 Pages:604-617

• A Fast Two-Level Strang Splitting Method for Multi-Dimensional Spatial Fractional Allen-Cahn Equations with Discrete Maximum Principle

  Yao-Yuan Cai, Zhi-Wei Fang, Hao Chen, Hai-Wei Sun

  2023-04-25

  30875 2924 Pages:340-360

• A Conservative Difference Scheme for Space Fractional Klein-Gordon-Schrödinger Equations with a High-Degree Yukawa Interaction

  Junjie Wang, Aiguo Xiao, Chenxi Wang

  2021-09-02

  40408 3531 Pages:715-745

• Stability and Convergence of $L1$-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation

  Yanping Chen, Xiuxiu Lin, Mengjuan Zhang, Yunqing Huang

  2023-01-04

  41745 4074 Pages:22-46

• Exact Traveling Wave Solutions of a Fractional Sawada-Kotera Equation

  Muhammad Arshad, Dianchen Lu, Jun Wang, Abdullah

  2018-09-17

  42432 3279 Pages:211-223

• Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations

  Jincheng Ren, Zhi-Zhong Sun

  2018-02-09

  38253 4196 Pages:242-266

• A Jacobi-Galerkin Spectral Method for Computing the Ground and First Excited States of Nonlinear Fractional Schrödinger Equation

  Ying Ma, Lizhen Chen

  2020-04-01

  42234 3168 Pages:274-294

• Conservative Numerical Schemes for the Nonlinear Fractional Schrödinger Equation

  Longbin Wu, Qiang Ma, Xiaohua Ding

  2021-05-26

  45666 3169 Pages:560-579

• A Fast Algorithm for the Caputo Fractional Derivative

  Kun Wang, Jizu Huang

  2021-09-02

  43182 3647 Pages:656-677

• A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation

  Pin Lyu, Seakweng Vong, Zhibo Wang

  2021-07-02

  37277 3443 Pages:752-766

• An Inverse Source Non-Local Problem for a Mixed Type Equation with a Caputo Fractional Differential Operator

  E. Karimov, N. Al-Salti, S. Kerbal

  2018-03-19

  35986 3067 Pages:417-438

• Multilevel Circulant Preconditioner for High-Dimensional Fractional Diffusion Equations

  Siu-Long Lei, Xu Chen, Xinhe Zhang

  2018-02-09

  37872 3330 Pages:109-130

• Optimal Convergence Rates in Time-Fractional Discretisations: The ${\rm L1}$, $\overline{{\rm L1}}$ and Alikhanov Schemes

  Yongtao Zhou, Martin Stynes

  2022-04-06

  52216 3514 Pages:503-520

• Crank-Nicolson ADI Finite Difference Method for Three-Dimensional Nonlinear Partial Integro-Differential Equations with Weak Singular Kernels

  Yanping Chen, Ruru Wang, Leijie Qiao

  2025-06-18

  7121 566 Pages:867-889