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  • A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel

    Jing Guo, Da Xu
    2020-07-24
    DOI:10.4208/aamm.OA-2019-0064
    50233 3344 pp. 1261-1279
  • Unconditional Long Time $\text{H}^1$-Stability of a Velocity-Vorticity-Temperature Scheme for the $2\text{D}$-Boussinesq System

    Mine Akbas
    2020-07-24
    DOI:10.4208/aamm.OA-2019-0122
    48674 3198 pp. 1166-1195
  • Convergence Analysis of Legendre-Collocation Methods for Nonlinear Volterra Type Integro Equations

    Yin Yang, Yanping Chen, Yunqing Huang, Wei Yang
    2018-03-29
    DOI:10.4208/aamm.2013.m163
    42841 4934 pp. 74-88
  • Superconvergence of bi-$k$ Degree Time-Space Fully Discontinuous Finite Element for First-Order Hyperbolic Equations

    Hongling Hu, Chuanmiao Chen
    2018-05-05
    DOI:10.4208/aamm.2014.m615
    42726 3172 pp. 323-337
  • Application of Homotopy Analysis Method for Solving Systems of Volterra Integral Equations

    M. Matinfar, M. Saeidy, J. Vahidi
    2012-04-01
    DOI:10.4208/aamm.10-m1143
    42315 4765 pp. 36-45
  • Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions

    Yunxia Wei, Yanping Chen
    2012-04-01
    DOI:10.4208/aamm.10-m1055
    42939 4769 pp. 1-20
  • Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

    Na Zhang, Weihua Deng, Yujiang Wu
    2012-04-01
    DOI:10.4208/aamm.10-m1210
    42650 4733 pp. 496-518
  • Numerical Simulation of a Multi-Frequency Resistivity Logging-While-Drilling Tool Using a Highly Accurate and Adaptive Higher-Order Finite Element Method

    Zhonghua Ma, Dejun Liu, Hui Li, Xinsheng Gao
    2012-04-01
    DOI:10.4208/aamm.10-m11158
    42020 4653 pp. 439-453
  • Finite Element Method Coupling Penalty Method for Flexural Shell Model

    Xiaoqin Shen, Yongjie Xue, Qian Yang, Shengfeng Zhu
    2022-01-24
    DOI:10.4208/aamm.OA-2020-0304
    42385 3316 pp. 365-385
  • 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
    DOI:10.4208/aamm.OA-2021-0153
    275934 3794 pp. 1400-1432
  • High Order Efficient Algorithm for Computation of MHD Flow Ensembles

    Muhammad Mohebujjaman
    2022-06-13
    DOI:10.4208/aamm.OA-2021-0154
    43377 3537 pp. 1111-1137
  • A Linearized Difference Scheme for Time-Fractional Sine-Gordon Equation

    Zhiyong Xing, Liping Wen
    2020-12-18
    DOI:10.4208/aamm.OA-2019-0346
    44390 3275 pp. 285-295
  • Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

    Qing Cheng, Cheng Wang
    2021-11-17
    DOI:10.4208/aamm.OA-2020-0297
    119097 6101 pp. 1318-1354
  • A Conservative Gradient Discretization Method for Parabolic Equations

    Huifang Zhou, Zhiqiang Sheng, Guangwei Yuan
    2020-10-20
    DOI:10.4208/aamm.OA-2020-0047
    48743 4467 pp. 232-260
  • Numerical Schemes for Time-Space Fractional Vibration Equations

    Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang
    2021-04-13
    DOI:10.4208/aamm.OA-2020-0066
    45774 3234 pp. 806-826
  • Jacobi Spectral Galerkin Methods for a Class of Nonlinear Weakly Singular Volterra Integral Equations

    Kapil Kant, Moumita Mandal, Gnaneshwar Nelakanti
    2021-06-08
    DOI:10.4208/aamm.OA-2020-0163
    45563 3286 pp. 1227-1260
  • A Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation with Time Dependent Dispersion Coefficients and Source Terms

    Eric Ngondiep
    2021-06-08
    DOI:10.4208/aamm.OA-2020-0206
    45904 3247 pp. 1005-1026
  • Convergent Overdetermined-RBF-MLPG for Solving Second Order Elliptic PDEs

    Ahmad Shirzadi, Leevan Ling
    2018-08-10
    DOI:10.4208/aamm.11-m11168
    43957 4923 pp. 78-89
  • Two-Level Newton Iteration Methods for Navier-Stokes Type Variational Inequality Problem

    Rong An, Hailong Qiu
    2018-08-10
    DOI:10.4208/aamm.11-m11188
    43477 4808 pp. 36-54
  • Asymptotic Error Analysis for the Discrete Iterated Galerkin Solution of Urysohn Integral Equations with Green’s Kernels

    Gobinda Rakshit
    2024-12-02
    DOI:10.4208/aamm.OA-2023-0004
    14440 1521 pp. 175-206
  • A Nonconvex and Nonsmooth Model for Deblurring Images under Cauchy Noise

    Hongtao Chen, Weina Wang
    2024-12-02
    DOI:10.4208/aamm.OA-2022-0243
    14579 1226 pp. 148-174
  • A Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model

    Dingwen Deng, Ruyu Zhang
    2024-02-29
    DOI:10.4208/aamm.OA-2022-0202
    27663 2890 pp. 608-635
  • A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems

    Cheng-Shu You, Po-Wen Hsieh, Suh-Yuh Yang
    2022-10-24
    DOI:10.4208/aamm.OA-2021-0165
    43993 4345 pp. 1-29
  • A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme

    Guanghui Hu, Ruo Li, Xucheng Meng
    2024-01-04
    DOI:10.4208/aamm.OA-2022-0267
    28327 2742 pp. 279-304
  • A First-Order Linear Energy Stable Scheme for the Cahn–Hilliard Equation with Dynamic Boundary Conditions Under the Effect of Hyperbolic Relaxation

    Minghui Yu, Rui Chen
    2026-02-06
    DOI:10.4208/aamm.OA-2025-0180
    1063 106 pp. 1616-1648
  • Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equations

    Baixue Xing, Hongliang Liu, Haodong Li, Zhenxing Fu
    2025-11-22
    DOI:10.4208/aamm.OA-2025-0085
    1609 111 pp. 1453-1502
  • High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain

    Xuenan Zhao, Jing An, Juan Zhang
    2026-08-01
    DOI:10.4208/aamm.OA-2024-0276
    1033 83 pp. 1189-1209
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