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Advances in Applied Mathematics and Mechanics
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  • A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties

    Hamed Panahi-Kalus, Amin Moosaie, Mehrdad Ahmadinejad
    2023-02-24
    37913 3468 Pages:623-650
  • Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method

    D. B. Dhaigude, Gunvant A. Birajdar
    2014-06-01
    45444 4955 Pages:107-119
  • Stokes Flows Imposed Constant Navier Slip Length on Boundary for Domains of Simple Geometry

    Zhan-Rui Qiu, Wei-Dong Su
    2025-05-12
    8363 502 Pages:1171-1203
  • Harmonic Standing-Wave Excitations of Simply-Supported Thick-Walled Hollow Elastic Circular Cylinders: Exact 3D Linear Elastodynamic Response

    Jamal Sakhr, Blaine A. Chronik
    2020-10-20
    49849 4473 Pages:18-57
  • Numerical Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations

    Xiaojun Zhou, Chuanju Xu
    2018-08-04
    42161 3083 Pages:574-595
  • Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

    Yuping Li, Hui Liang, Huifang Yuan
    2025-05-12
    8366 513 Pages:1111-1132
  • Shape Analysis and Solution to a Class of Nonlinear Wave Equation with Cubic Term

    Xiang Li, Weiguo Zhang, Yan Zhao
    2012-04-01
    41348 4248 Pages:559-574
  • 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
  • A Matrix-Vector Operation-Based Numerical Solution Method for Linear $m$-th Order Ordinary Differential Equations: Application to Engineering Problems

    M. Aminbaghai, M. Dorn, J. Eberhardsteiner, B. Pichler
    2013-05-01
    41874 4684 Pages:269-308
  • A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes

    Dan Wu, Junliang Lv, Lei Lin, Zhiqiang Sheng
    2023-04-11
    38006 3131 Pages:1076-1108
  • Mathematical Models for the Propagation of Stress Waves in Elastic Rods: Exact Solutions and Numerical Simulation

    H. M. Tenkam, M. Shatalov, I. Fedotov, R. Anguelov
    2018-05-05
    40828 3046 Pages:257-270
  • Exact and Approximate Values of the Period for a "Truly Nonlinear" Oscillator: $\ddot{x} + x + x^{1/3} = 0$

    Ronald E. Mickens, Dorian Wilkerson
    2018-08-10
    102 65 Pages:383-390
  • 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 Stochastic Collocation Method for Delay Differential Equations with Random Input

    Tao Zhou
    2014-06-01
    53679 4619 Pages:403-418 Open-access
  • 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 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 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
  • Error Estimates for 1D Asymptotic Models in Coaxial Cables with Non-Homogeneous Cross-Section

    Sébastien Imperiale, Patrick Joly
    2021-07-01
    43031 4193 Pages:647-664
  • Superconvergence Error Estimate of the Bilinear-Constant Scheme for the Stokes Equations with Damping

    Huaijun Yang, Lele Wang, Xin Liao
    2024-11-01
    15169 1359 Pages:1502-1518
  • Unsteady Hydromagnetic Couette Flow within Porous Plates in a Rotating System

    G. S. Seth, Md. S. Ansari, R. Nandkeolyar
    2018-11-01
    39852 3700 Pages:286-302
  • Perfectly Matched Layer Method for Acoustic Scattering Problem by a Locally Perturbed Line with Impedance Boundary Condition

    Xue Jiang, Xujing Li
    2020-03-06
    48379 4769 Pages:101-140
  • Solving the Navier-Lamé Equation in Cylindrical Coordinates Using the Buchwald Representation: Some Parametric Solutions with Applications

    Jamal Sakhr, Blaine A. Chronik
    2018-09-17
    47592 3452 Pages:1025-1056
  • 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
  • Stokes Flow of Viscous Fluid Past a Micropolar Fluid Spheroid

    M. Krishna Prasad, Manpreet Kaur
    2018-05-05
    44941 3026 Pages:1076-1093
  • Analysis of Functionally Graded Piezoelectric Cylinders in a Hygrothermal Environment

    M. N. M. Allam, A. M. Zenkour, R. Tantawy
    2014-06-01
    43103 4286 Pages:233-246
  • Constructing Separable Non-$2\pi$-Periodic Solutions to the Navier-Lamé Equation in Cylindrical Coordinates Using the Buchwald Representation: Theory and Applications

    Jamal Sakhr, Blaine A. Chronik
    2020-04-10
    50195 3206 Pages:694-728
  • A Novel Perturbative Iteration Algorithm for Effective and Efficient Solution of Frequency-Dependent Eigenvalue Problems

    Rongming Lin
    2012-04-01
    45382 4287 Pages:325-339
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