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Advances in Applied Mathematics and Mechanics
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  • 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
    46429 4416 Pages:197-215
  • 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 Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility

    Dianming Hou, Lili Ju, Zhonghua Qiao
    2024-07-22
    33439 2463 Pages:1009-1038
  • Two-Level Defect-Correction Method for Steady Navier-Stokes Problem with Friction Boundary Conditions

    An Liu, Yuan Li, Rong An
    2021-07-01
    44595 3859 Pages:932-952
  • Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian

    Jiaqi Zhang, Yin Yang, Zhaojie Zhou
    2023-10-11
    30650 2720 Pages:1631-1654
  • A Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes

    Xueying Wen, Yanhui Zhou
    2023-04-11
    37763 3178 Pages:901-931
  • Modelling and Analysis of a Class of Metal-Forming Problems

    T. A. Angelov
    2021-07-01
    39426 3956 Pages:722-745
  • Analysis and Numerical Approximation of an Electro-Elastic Frictional Contact Problem

    El-H. Essoufi, El-H. Benkhira, R. Fakhar
    2018-11-01
    40091 3630 Pages:355-378
  • Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation

    Gang Chen, Minfu Feng
    2018-05-05
    41820 2979 Pages:362-377
  • Nonconforming Finite Element Method for the Transmission Eigenvalue Problem

    Xia Ji, Yingxia Xi, Hehu Xie
    2018-05-05
    43122 4464 Pages:92-103
  • An Inf-Sup Stabilized Finite Element Method by Multiscale Functions for the Stokes Equations

    Zhihao Ge, Yinnian He, Lingyu Song
    2018-08-10
    39970 3826 Pages:273-287
  • Improved Local Projection for the Generalized Stokes Problem

    Kamel Nafa
    2021-07-01
    40615 4075 Pages:862-873
  • Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods

    Yanping Chen, Peng Luan, Zuliang Lu
    2021-07-01
    41511 4132 Pages:830-844
  • The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

    Jinting Yang, Hongxia Liang, Tong Zhang
    2021-07-01
    47534 4104 Pages:1481-1519
  • A Parallel Pressure Projection Stabilized Finite Element Method for Stokes Equation with Nonlinear Slip Boundary Conditions

    Kangrui Zhou, Yueqiang Shang
    2021-07-01
    47585 4163 Pages:1438-1456
  • A Discontinuous Galerkin Method by Patch Reconstruction for Convection-Diffusion Problems

    Zhiyuan Sun, Jun Liu, Pei Wang
    2020-04-10
    45468 3299 Pages:729-747
  • High-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips

    Haixia Dong, Miao Wang, Dongsheng Yin, Qian Zhang
    2020-04-10
    46510 3286 Pages:664-693
  • An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

    Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun
    2020-07-24
    49484 3268 Pages:1196-1223
  • A Modified Kernel Method for Solving Cauchy Problem of Two-Dimensional Heat Conduction Equation

    Jingjun Zhao, Songshu Liu, Tao Liu
    2018-03-29
    42876 4666 Pages:31-42
  • Variation of Parameters Method for Solving System of Nonlinear Volterra Integro-Differential Equation

    Muhammad Aslam Noor, Khalida Inayat Noor, Asif Waheed, Eisa Al-Said
    2018-08-10
    42433 4194 Pages:190-204
  • Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays

    Kai Zhang, Jie Li
    2012-04-01
    41071 3999 Pages:575-602
  • A Discontinuous Galerkin Finite Element Method Without Interior Penalty Terms

    Fuzheng Gao, Xiu Ye, Shangyou Zhang
    2022-01-24
    42020 3323 Pages:299-314
  • A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations

    Yue Feng, Yujie Liu, Ruishu Wang, Shangyou Zhang
    2021-11-18
    50388 4228 Pages:181-201
  • A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation

    Xi Zhang & Minfu Feng
    2022-04-11
    45286 3596 Pages:936-959
  • Two-Level Newton Iteration Methods for Navier-Stokes Type Variational Inequality Problem

    Rong An, Hailong Qiu
    2018-08-10
    43261 4687 Pages:36-54
  • A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems

    Xianbing Luo, Yanping Chen, Yunqing Huang
    2013-05-01
    42665 4159 Pages:688-704
  • An Isoparametric Finite Element Method for Reissner-Mindlin Plate Problem on Curved Domain

    Zhixin Liu, Minghui Song, Shicang Song
    2024-02-29
    26787 2594 Pages:715-737
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