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Advances in Applied Mathematics and Mechanics
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  • 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
  • Strong Converge Order of the General One-Step Method for Neutral Stochastic Delay Differential Equations under a Global Monotone Condition

    Chao Yue, Haoyong Zhuang, Longbin Zhao
    2025-09-29
    5032 250 Pages:1654-1681
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2025-10-29
    4501 112 Pages:724-755
  • An Inverse Problem with the Final Overdetermination for the Mean Field Games System

    Michael V. Klibanov, Jingzhi Li, Hongyu Liu
    2025-10-14
    4442 275 Pages:189-221
  • Acoustic Mode in Plane Free Mixing Layers

    Wubing Yang, Zhen Gao, Qing Shen, Qiang Wang
    2019-04-16
    48045 3222 Pages:630-639
  • 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
  • New Residual Based Stabilization Method for the Elasticity Problem

    Minghao Li, Dongyang Shi, Ying Dai
    2018-09-17
    45583 5020 Pages:100-113
  • Fourth-Order Compact Split-Step Finite Difference Method for Solving the Two- and Three-Dimensional Nonlinear Schrödinger Equations

    Rena Eskar, Xinlong Feng, Pengzhan Huang
    2018-09-17
    47385 3468 Pages:879-895
  • Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow

    Md. Abdullah Al Mahbub, Shahid Hussain, Nasrin Jahan Nasu, Haibiao Zheng
    2018-09-17
    44679 3089 Pages:1191-1226
  • The New Mode of Instability in Viscous High-Speed Boundary Layer Flows

    Jie Ren, Youcheng Xi, Song Fu
    2018-09-17
    46383 3134 Pages:1057-1068
  • Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative

    Mohammed S. Abdo, Satish K. Panchal
    2019-01-11
    47517 3213 Pages:338-359
  • 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
  • A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

    Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma
    2024-11-01
    15838 1410 Pages:1358-1380
  • 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
  • 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
  • Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations

    Yuan Yu, Zuojian Qin, Siwei Chen, Shi Shu, Haizhuan Yuan
    2024-12-31
    13202 1211 Pages:489-516
  • A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

    Eric Ngondiep
    2025-03-14
    11029 774 Pages:956-988
  • An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow

    Hui Sun, Lulu Tian, Hui Guo
    2025-03-14
    11176 775 Pages:888-908
  • Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

    Dong Liu, Weihua Deng
    2025-05-12
    8299 493 Pages:1204-1238
  • Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $Φ_p$ Operator and Mittag-Leffler Kernel

    Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt
    2025-07-19
    7426 463 Pages:1481-1508
  • On a Large Time-Stepping Method for the Swift-Hohenberg Equation

    Zhengru Zhang, Yuanzi Ma
    2021-07-01
    44078 4146 Pages:992-1003
  • A Two-Level Method for Pressure Projection Stabilized P1 Nonconforming Approximation of the Semi-Linear Elliptic Equations

    Sufang Zhang, Hongxia Yan, Hongen Jia
    2018-05-05
    40731 3117 Pages:386-398
  • Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations

    Huipo Liu, Shuanghu Wang, Hongbin Han
    2018-05-05
    42569 2937 Pages:871-886
  • Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

    Xu Wang, Weidong Zhao
    2023-02-24
    38902 3360 Pages:737-768
  • A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations

    Huayi Huang, Yunqing Huang, Qili Tang
    2023-06-21
    37872 3104 Pages:1142-1165
  • A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation

    Can Li, Weihua Deng
    2018-05-05
    42130 3001 Pages:282-306
  • A Unified Instability Region for the Extended Taylor-Goldstein Problem of Hydrodynamic Stability

    S. Sridevi, Huashu Dou, V. Ganesh
    2021-07-01
    43033 3867 Pages:1404-1419
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