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Advances in Applied Mathematics and Mechanics
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  • A Collocation Method for Solving Fractional Riccati Differential Equation

    Mustafa Gülsu, Yalçın Öztürk, Ayşe Anapali
    2021-07-01
    44336 4629 Pages:872-884
  • A Meshless Regularization Method for a Two-Dimensional Two-Phase Linear Inverse Stefan Problem

    B. Tomas Johansson, Daniel Lesnic, Thomas Reeve
    2021-07-01
    44074 4456 Pages:825-845
  • Free Vibration Analysis of Nanocomposite Plates Reinforced by Graded Carbon Nanotubes Based on First-Order Shear Deformation Plate Theory

    S. Jafari Mehrabadi, B. Sobhaniaragh, V. Pourdonya
    2018-08-10
    43495 4936 Pages:90-112
  • A Comparison of the Performance of Limiters for Runge-Kutta Discontinuous Galerkin Methods

    Hongqiang Zhu, Yue Cheng, Jianxian Qiu
    2013-05-01
    46563 4838 Pages:365-390
  • Using Gaussian Eigenfunctions to Solve Boundary Value Problems

    Michael McCourt
    2021-01-13
    42983 4285 Pages:569-594
  • B-Spline Gaussian Collocation Software for Two-Dimensional Parabolic PDEs

    Zhi Li, Paul Muir
    2021-01-13
    42376 4108 Pages:528-547
  • Explorations and Expectations of Equidistribution Adaptations for Nonlinear Quenching Problems

    Matthew A. Beauregard, Qin Sheng
    2021-01-13
    42820 4249 Pages:407-422
  • 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
  • Superconvergence Analysis of Bilinear Finite Element for the Nonlinear Schrödinger Equation on the Rectangular Mesh

    Zhikun Tian, Yanping Chen, Jianyun Wang
    2018-09-17
    44905 3095 Pages:468-484
  • 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
  • A Note on Exact Solutions to Linear Differential Equations by the Matrix Exponential

    Wen-Xiu Ma, Xiang Gu, Liang Gao
    2018-08-10
    92 59 Pages:573-580
  • A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

    Michael Yang, Z.J. Wang
    2018-08-10
    96 66 Pages:451-480
  • A Note on Exact Solutions to Linear Differential Equations by the Matrix Exponential

    Wen-Xiu Ma, Xiang Gu, Liang Gao
    2018-08-10
    40620 4079 Pages:573-580
  • A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

    Michael Yang, Z.J. Wang
    2018-08-10
    40764 4056 Pages:451-480
  • Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material

    Zengtao Chen, Fajie Wang
    2022-10-24
    44410 4281 Pages:182-201
  • 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
    55158 3150 Pages:437-458
  • 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
    27984 2638 Pages:279-304
  • A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems

    Tao Zhang, Xiaolin Li
    2023-12-21
    26791 2564 Pages:24-46
  • ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems

    Yinghao Chen, Muzhou Hou, Jingying Hu, Yang Xiao, Jinyong Ying, Ting Zhang
    2025-09-29
    5014 252 Pages:1841-1866
  • Accurate Static and Dynamic Analysis Using Unstructured Meshes for Complicated Geometry Problems

    Guangze Tang, Hong Yang, She Li, Xin Hu, Xiangyang Cui
    2025-09-29
    5035 246 Pages:1813-1840
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2025-10-29
    4501 112 Pages:724-755
  • First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density

    Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang
    2025-10-29
    4466 106 Pages:666-699
  • Analyzing Bending Problems of Plates on Elastic Foundations via Improved Element-Free Galerkin Method

    Heng Cheng, Dongqiong Liang, Fengbin Liu
    2025-11-28
    109 6
  • A Fully Discrete Method for Space-Time Fractional Parabolic Problems

    Zunlin Tan, Xiaoping Xie
    2025-11-28
    91 3
  • A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

    Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li
    2025-11-28
    93 3
  • 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
    168 4
  • A Crank-Nicolson Finite Difference Scheme for the (2+1)D Saturable Nonlinear Schrödinger Equation with Generalized Damping

    Anh Ha Le, Quan M. Nguyen
    2025-11-22
    185 2
109 - 135 of 295 items
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