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Advances in Applied Mathematics and Mechanics
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  • A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

    Jialing Wang, Tingchun Wang, Yushun Wang
    2023-02-24
    38118 3194 Pages:786-813
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2025-10-29
    4501 112 Pages:724-755
  • Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System

    Kolade M. Owolabi, Abdon Atangana
    2021-07-01
    42738 3879 Pages:1438-1460
  • Effect of Nonuniform Grids on High-Order Finite Difference Method

    Dan Xu, Xiaogang Deng, Yaming Chen, Guangxue Wang, Yidao Dong
    2018-05-05
    40777 2846 Pages:1012-1034
  • 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
    118609 5935 Pages:1318-1354
  • A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

    Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang
    2018-09-17
    44063 4798 Pages:242-260
  • Natural Frequencies of Composite Lattice Structure Surrounded by Winkler-Pasternak Ambient Using Galerkin Method

    Ehsaneh Mohammadpour Hamedani, Amir H. Hashemian
    2024-01-04
    26331 2297 Pages:355-372
  • 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
  • Asymptotic Analysis of a Bingham Fluid in a Thin Domain with Fourier and Tresca Boundary Conditions

    M. Dilmi, H. Benseridi, A. Saadallah
    2021-07-01
    43556 4456 Pages:797-810
  • A Priori Error Analysis of an Euler Implicit, Finite Element Approximation of the Unsteady Darcy Problem in an Axisymmetric Domain

    Ajmia Younes Orfi, Driss Yakoubi
    2018-09-17
    44766 3155 Pages:301-321
  • Numerical Investigation of the Coherent Structures and Sound Properties in Sonic Coaxial Jets

    Haitao Shi, Dawei Chen, Pei Wang, Nansheng Liu, Xiyun Lu
    2018-08-04
    42121 3130 Pages:554-573
  • Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes

    Jinhua Lu
    2025-09-29
    5015 251 Pages:1715-1741
  • 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
  • Analyses of the Dispersion Overshoot and Inverse Dissipation of the High-Order Finite Difference Scheme

    Qin Li, Qilong Guo, Hanxin Zhang
    2021-07-01
    44930 4414 Pages:809-824
  • 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
1 - 15 of 15 items
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