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Advances in Applied Mathematics and Mechanics
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  • An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

    Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang
    2022-08-08
    275646 3715 Pages:1400-1432
  • Thermoelastic Interaction in an Infinite Long Hollow Cylinder with Fractional Heat Conduction Equation

    Ahmed. E. Abouelregal
    2018-05-05
    41801 3010 Pages:378-392
  • The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations

    Shanshan Xu, Lin Wang, Wenqiang Wang
    2023-04-11
    38497 3190 Pages:852-879
  • A Convex Approximation for a PDE Constrained Fractional Optimization Problem with an Application to Photonic Crystal Design

    Mengyue Wu, Jianhua Yuan, Jianxin Zhang
    2023-10-11
    30829 2743 Pages:1540-1561
  • Dependence Analysis of the Solutions on the Parameters of Fractional Neutral Delay Differential Equations

    Shuiping Yang
    2018-05-05
    42442 3049 Pages:772-783
  • Numerical Schemes for Time-Space Fractional Vibration Equations

    Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang
    2021-04-13
    45507 3160 Pages:806-826
  • Exact Solutions for Fractional Differential-Difference Equations by (G′/G)-Expansion Method with Modified Riemann-Liouville Derivative

    Ahmet Bekir, Ozkan Guner, Burcu Ayhan, Adem C. Cevikel
    2018-05-05
    40779 3011 Pages:293-305
  • A New Energy-Preserving Scheme for the Fractional Klein-Gordon-Schrödinger Equations

    Yao Shi, Qiang Ma, Xiaohua Ding
    2019-06-24
    45276 3253 Pages:1219-1247
  • The Nehari Manifold for a Class of Singular $\psi$-Riemann-Liouville Fractional with $p$-Laplacian Operator Differential Equations

    Samah Horrigue, Mona Alsulami, Bayan Abduallah Alsaeedi
    2024-07-22
    26882 2334 Pages:1104-1120
  • A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel

    Jing Guo, Da Xu
    2020-07-24
    49967 3264 Pages:1261-1279
  • A Linearized Difference Scheme for Time-Fractional Sine-Gordon Equation

    Zhiyong Xing, Liping Wen
    2020-12-18
    44135 3185 Pages:285-295
  • Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

    Shuiping Yang, Yubin Liu, Hongyu Liu, Chao Wang
    2021-11-18
    50221 4246 Pages:56-78
  • Optimal Convergence Rate of $\theta$--Maruyama Method for Stochastic Volterra Integro-Differential Equations with Riemann--Liouville Fractional Brownian Motion

    Mengjie Wang, Xinjie Dai, Aiguo Xiao
    2021-11-18
    49427 4323 Pages:202-217
  • Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

    Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao
    2022-12-13
    40564 3250 Pages:322-358
  • A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

    Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang
    2023-12-21
    25738 2422 Pages:146-163
  • Numerical Inversion for the Initial Distribution in the Multi-Term Time-Fractional Diffusion Equation Using Final Observations

    Chunlong Sun, Gongsheng Li, Xianzheng Jia
    2021-07-01
    42043 3600 Pages:1525-1546
  • Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

    Na Zhang, Weihua Deng, Yujiang Wu
    2012-04-01
    42409 4603 Pages:496-518
  • Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative

    N. H. Sweilam, M. M. Abou Hasan
    2018-05-05
    42263 2900 Pages:990-1011
  • Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

    Seakweng Vong, Zhibo Wang
    2014-06-01
    44256 4570 Pages:419-435
  • Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

    Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang
    2024-07-22
    26270 2390 Pages:1197-1222
  • A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation

    Yin Yang, Jianyong Tao, Shangyou Zhang, Petr V. Sivtsev
    2020-03-06
    49435 4940 Pages:57-86
  • A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations

    Huasheng Wang, Yanping Chen, Yunqing Huang, Wenting Mao
    2020-03-06
    48354 5001 Pages:87-100
  • A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations

    Rong An, Can Zhou, Jian Su
    2020-01-17
    47190 3235 Pages:362-385
  • A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

    Guofei Pang, Wen Chen, Kam Yim Sze
    2018-05-05
    43675 4554 Pages:166-186
  • Toward a New Algorithm for Nonlinear Fractional Differential Equations

    Fadi Awawdeh, S. Abbasbandy
    2013-05-01
    41663 4185 Pages:222-234
  • Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations

    X. Q. Yue, W. P. Bu, S. Shu, M. H. Liu, S. Wang
    2018-09-17
    45391 3175 Pages:1103-1125
  • A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method

    Shichao Yi, Hongguang Sun
    2019-01-04
    46429 4416 Pages:197-215
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