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  • Superconvergence Analysis of Bilinear Finite Element for the Nonlinear Schrödinger Equation on the Rectangular Mesh

    Zhikun Tian, Yanping Chen, Jianyun Wang
    2018-09-17
    45025 3123 Pages:468-484
  • Development of a Novel Nonlinear Dynamic Cavitation Model and Its Numerical Validations

    Haidong Yu, Xiaobo Quan, Haipeng Wei, Matevž Dular, Song Fu
    2024-02-29
    29034 2803 Pages:771-804
  • Finite-Time Stability and Instability of Nonlinear Impulsive Systems

    Guihua Zhao, Hui Liang
    2022-10-24
    48470 4462 Pages:49-68
  • Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method

    M. Salah, M. S. Matbuly, O. Civalek, Ola Ragb
    2024-01-04
    55360 3191 Pages:437-458
  • 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
    25909 2484 Pages:146-163
  • A Discrete Collocation Technique Using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models

    Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan
    2026-06-01
    4062 66 Pages:1058-1086
  • 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
    7064 326 Pages:1654-1681
  • Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

    Cai-Feng Wang, Wai-Sun Don, Jia-Le Li, Bao-Shan Wang
    2025-09-29
    7157 418 Pages:1591-1624
  • First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density

    Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang
    2026-04-01
    4821 153 Pages:666-699
  • Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

    Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt
    2026-02-01
    5125 361 Pages:134-169
  • A Fourth Order WENO Scheme for Hyperbolic Conservation Laws

    Xiaohan Cheng, Jianhu Feng, Supei Zheng
    2020-06-01
    52546 3541 Pages:992-1007
  • Two-Grid Stabilized FEMs Based on Newton Type Linearization for the Steady-State Natural Convection Problem

    Yunbo Yang, Yaolin Jiang, Qiongxiang Kong
    2020-01-17
    48659 3387 Pages:407-435
  • Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

    Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao
    2021-07-01
    56458 4588 Pages:1418-1439
  • Mortar Element Method for the Coupling of Navier-Stokes and Darcy Flows

    Xin Zhao, Yanping Chen
    2018-09-17
    43809 3009 Pages:710-734
  • Convergence Accelerating in the Homotopy Analysis Method: A New Approach

    M. Turkyilmazoglu
    2018-09-17
    50033 3523 Pages:925-947
  • A New Error Analysis of Nonconforming $EQ^{rot}_1$ FEM for Nonlinear BBM Equation

    Yanhua Shi, Yanmin Zhao, Fenling Wang, Dongyang Shi
    2018-09-17
    44772 3208 Pages:1227-1246
  • 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
    46585 4468 Pages:197-215
  • 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
    27062 2377 Pages:1104-1120
  • 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
    7878 538 Pages:1481-1508
  • Postbuckling Analysis of Shear Deformable FGM Cylindrical Shells with Porosities Subjected to Combined Mechanical Loads in Thermal Environments

    Vu Thanh Long, Hoang Van Tung
    2025-07-19
    8059 563 Pages:1333-1352
  • 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
    40878 3043 Pages:293-305
  • Strong Convergence Analysis of Split-Step θ-Scheme for Nonlinear Stochastic Differential Equations with Jumps

    Xu Yang, Weidong Zhao
    2021-07-01
    45288 4066 Pages:1004-1022
  • Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization

    Huiling Chen, Chunmei Zhang, Yuli Feng, Qin Xu
    2023-10-11
    48933 2773 Pages:1428-1455
  • A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes

    Dan Wu, Junliang Lv, Lei Lin, Zhiqiang Sheng
    2023-04-11
    38142 3185 Pages:1076-1108
  • The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations

    Shanshan Xu, Lin Wang, Wenqiang Wang
    2023-04-11
    38654 3251 Pages:852-879
  • Convergence Rates of a Class of Predictor-Corrector Iterations for the Nonsymmetric Algebraic Riccati Equation Arising in Transport Theory

    Ning Dong, Jicheng Jin, Bo Yu
    2018-05-05
    42698 3054 Pages:944-963
  • A Meshfree Technique for Numerical Simulation of Reaction-Diffusion Systems in Developmental Biology

    Zahra Jannesari, Mehdi Tatari
    2018-05-05
    45134 3049 Pages:1225-1249
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