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Advances in Applied Mathematics and Mechanics
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  • Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

    Xiulian Shi, Yanping Chen, Yunqing Huang, Fenglin Huang
    2020-01-17
    48497 3586 Pages:480-502
  • A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

    Hu Li, Jin Huang
    2018-05-05
    41914 2908 Pages:393-406
  • An Efficient Numerical Solution Method for Elliptic Problems in Divergence Form

    Ali Abbas
    2014-06-01
    41809 4239 Pages:327-344
  • A Stochastic Collocation Method for Delay Differential Equations with Random Input

    Tao Zhou
    2014-06-01
    53679 4619 Pages:403-418 Open-access
  • 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
  • Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay

    Zhenrong Chen, Yanping Chen, Yunqing Huang
    2022-08-08
    288583 3985 Pages:1333-1356
  • A Comparative Study on Polynomial Expansion Method and Polynomial Method of Particular Solutions

    Jen-Yi Chang, Ru-Yun Chen, Chia-Cheng Tsai
    2022-02-25
    48964 3320 Pages:577-595
  • Alternating Cell Direction Implicit Method Using Approximate Factorization on Hybrid Grids

    Ali Ruhşen Çete, Oğuz Kaan Onay
    2022-02-25
    47957 3211 Pages:539-576
  • Numerical Solution for Neutral Delay Differential Equation of Constant or Proportional Type Using Hybrid Block Method

    Nur Inshirah Naqiah Ismail, Zanariah Abdul Majid, Norazak Senu
    2022-06-13
    42111 3457 Pages:1138-1160
  • B-Spline Gaussian Collocation Software for Two-Dimensional Parabolic PDEs

    Zhi Li, Paul Muir
    2021-01-13
    42376 4108 Pages:528-547
  • 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
  • A Partial RKDG Method for Solving the 2D Ideal MHD Equations Written in Semi-Lagrangian Formulation on Moving Meshes with Exactly Divergence-Free Magnetic Field

    Shijun Zou, Xijun Yu, Zihuan Dai, Fang Qing, Xiaolong Zhao
    2023-04-11
    38225 3299 Pages:932-963
  • Numerical Inversion for the Initial Distribution in the Multi-Term Time-Fractional Diffusion Equation Using Final Observations

    Chunlong Sun, Gongsheng Li, Xianzheng Jia
    2021-07-01
    42043 3600 Pages:1525-1546
  • Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

    Dong Liu, Weihua Deng
    2025-05-12
    8299 493 Pages:1204-1238
  • Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics

    Junpu Li, Zhuojia Fu, Yan Gu, Qing-Hua Qin
    2022-01-24
    43122 3358 Pages:315-343
  • A New Conservative Allen-Cahn Type Ohta-Kawaski Phase-Field Model for Diblock Copolymers and Its Numerical Approximations

    Shuang Geng, Tongmao Li, Qiongwei Ye, Xiaofeng Yang
    2021-11-18
    49505 4107 Pages:101-124
  • Nonlinear Vibration Analysis of Functionally Graded Nanobeam Using Homotopy Perturbation Method

    Majid Ghadiri, Mohsen Safi
    2018-05-05
    43584 4572 Pages:144-156
  • A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media

    Sergiy Reutskiy, Ji Lin, Bin Zheng, Jiyou Tong
    2020-12-21
    47424 3118 Pages:590-618
  • $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations

    Yiying Wang, Yongkui Zou, Shimin Chai
    2020-12-21
    47617 3168 Pages:554-568
  • A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation

    Ruo Li, Fanyi Yang
    2023-06-21
    38264 3216 Pages:1109-1141
  • Finite Element Solution for MHD Flow of Nanofluids with Heat and Mass Transfer Through a Porous Media with Thermal Radiation, Viscous Dissipation and Chemical Reaction Effects

    Shafqat Hussain
    2018-05-05
    42843 3022 Pages:904-923
  • Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation

    M. H. Heydari, M. R. Hooshmandasl, F. Mohammadi
    2014-06-01
    43011 4232 Pages:247-260
  • 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
    5129 302 Pages:1591-1624
  • A Layer-Integrated Model of Solute Transport in Heterogeneous Media

    Hung-En Chen, Hui-Ping Lee, Shih-Wei Chiang, Tung-Lin Tsai, Jinn-Chuang Yang
    2021-07-01
    43780 4383 Pages:699-717
  • Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

    Jae-Hun Jung, Wai Sun Don
    2021-07-01
    41515 4132 Pages:769-780
  • Mathematical Development and Verification of a Finite Volume Model for Morphodynamic Flow Applications

    Fayssal Benkhaldoun, Mohammed Seaïd, Slah Sahmim
    2011-03-01
    41798 4245 Pages:470-492
  • Spectral Element Discretization of the Stokes Equations in Deformed Axisymmetric Geometries

    Zakaria Belhachmi, Andreas Karageorghis
    2011-03-01
    41438 4093 Pages:448-469
28 - 54 of 151 items
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