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Advances in Applied Mathematics and Mechanics
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  • Application of Improved (G'/G)–Expansion Method to Traveling Wave Solutions of Two Nonlinear Evolution Equations

    Xiaohua Liu, Weiguo Zhang, Zhengming Li
    2012-04-01
    42681 4694 Pages:122-130
  • Domain-Decomposition Localized Method of Fundamental Solutions for Large-Scale Heat Conduction in Anisotropic Layered Materials

    Shuainan Liu, Zhuojia Fu, Yan Gu
    2022-02-25
    47675 3308 Pages:759-776
  • Singular Boundary Method to Simulate Scattering of SH Wave by the Canyon Topography

    Zhuochao Tang, Zhuojia Fu, Dongjian Zheng, Jundong Huang
    2018-09-17
    48525 3542 Pages:912-924
  • Evaluating the Origin Intensity Factor in the Singular Boundary Method for Three-Dimensional Dirichlet Problems

    Linlin Sun, Wen Chen, Alexander H.-D. Cheng
    2021-07-01
    43107 3872 Pages:1289-1311
  • A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao, Qiang Niu
    2021-07-01
    48037 4043 Pages:1416-1437
  • An Improved Formulation of Singular Boundary Method

    Wen Chen, Yan Gu
    2012-04-01
    41611 4143 Pages:543-558
  • A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

    Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji
    2021-06-08
    45031 3067 Pages:1261-1292
  • The Boundary Mapped Collocation Method for Heat Conduction Problems with Heat Generation Spatially Varying Conductivity

    Zhentian Huang, Dong Lei, Zi Han, Heping Xie, Jianbo Zhu
    2024-12-02
    13935 1022 Pages:240-262
  • Solving Fourth-Order PDEs Using the LMAPS

    Cheng Deng, Hui Zheng, Yan Shi, C. S. Chen
    2020-06-01
    50611 3337 Pages:920-939
  • On the Selection of a Good Shape Parameter of the Localized Method of Approximated Particular Solutions

    Hui Zheng, Guangming Yao, Lei-Hsin Kuo, Xinxiang Li
    2018-09-17
    49279 3589 Pages:896-911
  • A Practical Algorithm for Determining the Optimal Pseudo-Boundary in the Method of Fundamental Solutions

    A. Karageorghis
    2018-08-10
    93 59 Pages:510-528
  • A Practical Algorithm for Determining the Optimal Pseudo-Boundary in the Method of Fundamental Solutions

    A. Karageorghis
    2018-08-10
    40534 3914 Pages:510-528
  • Adaptive Finite Element Solutions of a Diffusion Model for Drug Release in PLGA Microspheres

    Hongyu Chen, Guanghui Hu, Defang Ouyang
    2025-11-19
    209 3
  • Spectral Collocation Method for a Class of Integro-Differential Equations with Erdélyi-Kober Fractional Operator

    M. Toranj-Simin, M. Hadizadeh
    2020-01-17
    55934 3239 Pages:386-406
  • Error Estimation and Stress Recovery by Patch Equilibrium in the ‎‎Isogeometric Analysis Method

    Ahmad Ganjali, Behrooz Hassani, Masoud Mahdizadeh Rokhi
    2020-07-24
    49572 3205 Pages:1079-1112
  • A Moving Mesh Method for Kinetic/Hydrodynamic Coupling

    Zhicheng Hu, Heyu Wang
    2021-07-01
    43212 4199 Pages:685-702
  • The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators

    Vedat Suat Ertürk, Zaid M. Odibat, Shaher Momani
    2012-04-01
    42661 4636 Pages:422-438
  • Travelling Wave Solutions to the Zhiber-Shabat and Related Equations Using Rational Hyperbolic Method

    Amin Gholami Davodi, Davood Domiri Ganji
    2010-02-01
    42647 4642 Pages:118-130
  • Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind

    Qiumei Huang, Min Wang
    2024-05-14
    25203 2512 Pages:927-951
  • A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

    Yunxia Wang, Xuefeng Han, Zhiyong Si
    2020-03-06
    48557 4939 Pages:251-277
  • An Efficient Numerical Method for the Valuation of American Better-of Options Based on the Front-Fixing Transform and the Far Field Truncation

    Xiaowei Pang, Haiming Song, Xiaoshen Wang, Kai Zhang
    2020-06-01
    50659 3412 Pages:902-919
  • Numerical Comparison of the LOOCV-MFS and the MS-CTM for 2D Equations

    Fang Hao, Hui Lv, Xiaoyan Liu
    2018-09-17
    45378 5121 Pages:41-61
  • Tailored Finite Point Method for Numerical Solutions of Singular Perturbed Eigenvalue Problems

    Houde Han, Yin-Tzer Shih, Chih-Ching Tsai
    2014-06-01
    51267 4314 Pages:376-402
  • The Method of Fundamental Solutions for Solving Exterior Axisymmetric Helmholtz Problems with High Wave-Number

    Wen Chen, Ji Lin, C. S. Chen
    2021-01-13
    42638 4154 Pages:477-493
  • Galerkin Formulations of the Method of Fundamental Solutions

    J. R. Berger, Andreas Karageorghis
    2021-01-13
    42586 4137 Pages:423-441
  • Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

    Shengnan Kang, Kenzu Abdella, Macro Pollanen, Shuhua Zhang, Liang Wang
    2022-08-08
    292660 4130 Pages:1302-1332
  • Robust and Globally Divergence-Free Weak Galerkin Methods for Oseen Equations

    Lingxia Kong, Ya Min, Minfu Feng, Xiaoyu Fu
    2025-10-29
    4471 125 Pages:411-433
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