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Advances in Applied Mathematics and Mechanics
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  • Spectral Collocation Method for a Class of Integro-Differential Equations with Erdélyi-Kober Fractional Operator

    M. Toranj-Simin, M. Hadizadeh
    2020-01-17
    55934 3239 Pages:386-406
  • Stability Analysis and Order Improvement for Time Domain Differential Quadrature Method

    Fangzong Wang, Xiaobing Liao, Xiong Xie
    2018-05-05
    43634 4501 Pages:128-144
  • Stability of Regularized Lattice Boltzmann Model for Convection-Diffusion Equations

    Yuanhang Huang, Xinmeng Chen, Zhenhua Chai, Baochang Shi
    2025-07-19
    7486 479 Pages:1370-1394
  • Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media

    Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar, Manoj K. Rajpoot
    2024-12-02
    14173 1058 Pages:315-349
  • Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity

    Shan Zhang, Zihao Yang, Xiaofei Guan
    2022-10-24
    43819 3859 Pages:69-93
  • A New Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom Topography

    Wei Guo, Ziming Chen, Shouguo Qian, Gang Li, Qiang Niu
    2023-10-11
    32079 2815 Pages:1515-1539
  • A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

    Hu Li, Jin Huang
    2018-05-05
    41914 2908 Pages:393-406
  • Tailored Finite Point Method for Numerical Solutions of Singular Perturbed Eigenvalue Problems

    Houde Han, Yin-Tzer Shih, Chih-Ching Tsai
    2014-06-01
    51267 4314 Pages:376-402
  • Numerical Approximation of a Nonlinear 3D Heat Radiation Problem

    Liping Liu, Min Huang, Kewei Yuan, Michal Křížek
    2018-08-10
    43623 4857 Pages:125-139
  • High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain

    Xuenan Zhao, Jing An, Juan Zhang
    2025-11-28
    93 3
  • A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao, Qiang Niu
    2021-07-01
    48037 4043 Pages:1416-1437
  • Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations

    Lina Ma, Cheng Wang, Zeyu Xia
    2024-12-31
    13013 1149 Pages:633-662
  • Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces

    Iurie Caraus, Zhilin Li
    2021-07-01
    42860 4089 Pages:737-750
  • A Modified Characteristics Finite Element Method for the Electroneutral Micro-Fluids

    Zhiyong Si, Piaopiao Dong, Yunxia Wang
    2022-01-24
    41055 3299 Pages:386-414
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

    Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
    2022-08-08
    270062 3707 Pages:1477-1508
  • Convergence Analysis of a Global-in-Time Iterative Decoupled Algorithm for Biot’s Model

    Huipeng Gu, Mingchao Cai, Jingzhi Li
    2025-03-14
    11091 781 Pages:778-803
  • Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation

    Eric Ngondiep, Ali H. Tedjani
    2024-11-01
    15403 1374 Pages:1381-1409
  • High-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water Equations

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao
    2021-04-13
    44910 3214 Pages:827-849
  • Asymptotic Error Analysis for the Discrete Iterated Galerkin Solution of Urysohn Integral Equations with Green’s Kernels

    Gobinda Rakshit
    2024-12-02
    14068 1280 Pages:175-206
  • Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model

    Rongfang Wu, Xiaoqin Shen, Dongyang Shi, Jiaping Yu
    2024-01-04
    26935 2325 Pages:493-518
  • A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties

    Hamed Panahi-Kalus, Amin Moosaie, Mehrdad Ahmadinejad
    2023-02-24
    37913 3468 Pages:623-650
  • A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations

    Yue Zhou, Hang Xu
    2023-04-11
    37516 3085 Pages:964-983
  • Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel

    Xiong Liu, Yanping Chen
    2021-07-01
    41600 3719 Pages:1506-1524
  • Numerical Optimization and Noise Analysis of High-Tip-Speed Wind Turbine

    Long Wang, Guoping Chen, Tongguang Wang, Jiufa Cao
    2021-07-01
    42815 3802 Pages:1461-1484
  • Superconvergence Analysis of Gradient Recovery Method for TM Model of Electromagnetic Scattering in the Cavity

    Shanghui Jia, Changhui Yao, Hehu Xie
    2018-08-04
    42216 3080 Pages:543-553
  • Superconvergence Analysis of Gradient Recovery Method for TM Model of Electromagnetic Scattering in the Cavity

    Shanghui Jia, Changhui Yao
    2018-05-05
    44597 3075 Pages:1133-1144
  • A Fifth-Order Low-Dissipative Conservative Upwind Compact Scheme Using Centered Stencil

    Conghai Wu, Sujuan Yang, Ning Zhao
    2021-07-01
    42859 4268 Pages:830-848
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