Search Results

• A Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation with Time Dependent Dispersion Coefficients and Source Terms

  Eric Ngondiep

  2021-06-08

  DOI:10.4208/aamm.OA-2020-0206

  45904 3247 pp. 1005-1026

• A Collocation Method for Solving Fractional Riccati Differential Equation

  Mustafa Gülsu, Yalçın Öztürk, Ayşe Anapali

  2021-07-01

  DOI:10.4208/aamm.12-m12118

  44568 4779 pp. 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

  DOI:10.4208/aamm.2013.m77

  44269 4577 pp. 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

  DOI:10.4208/aamm.11-m11182

  43721 5252 pp. 90-112

• A Comparison of the Performance of Limiters for Runge-Kutta Discontinuous Galerkin Methods

  Hongqiang Zhu, Yue Cheng, Jianxian Qiu

  2013-05-01

  DOI:10.4208/aamm.2012.m22

  46775 4957 pp. 365-390

• Using Gaussian Eigenfunctions to Solve Boundary Value Problems

  Michael McCourt

  2021-01-13

  DOI:10.4208/aamm.13-13S08

  43192 4418 pp. 569-594

• B-Spline Gaussian Collocation Software for Two-Dimensional Parabolic PDEs

  Zhi Li, Paul Muir

  2021-01-13

  DOI:10.4208/aamm.13-13S09

  42612 4229 pp. 528-547

• Explorations and Expectations of Equidistribution Adaptations for Nonlinear Quenching Problems

  Matthew A. Beauregard, Qin Sheng

  2021-01-13

  DOI:10.4208/aamm.13-13S01

  43031 4429 pp. 407-422

• Asymptotic Error Analysis for the Discrete Iterated Galerkin Solution of Urysohn Integral Equations with Green’s Kernels

  Gobinda Rakshit

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0004

  14440 1521 pp. 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

  DOI:10.4208/aamm.OA-2017-0156

  45152 3163 pp. 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

  DOI:10.4208/aamm.OA-2016-0055

  45000 3213 pp. 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

  DOI:10.4208/aamm.09-m0946

  40859 4216 pp. 573-580

• A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

  Michael Yang, Z.J. Wang

  2018-08-10

  DOI:10.4208/aamm.09-m0913

  41080 4226 pp. 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

  DOI:10.4208/aamm.09-m0946

  40885 4270 pp. 573-580

• A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

  Michael Yang, Z.J. Wang

  2018-08-10

  DOI:10.4208/aamm.09-m0913

  40999 4179 pp. 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

  DOI:10.4208/aamm.OA-2021-0197

  44745 4452 pp. 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

  DOI:10.4208/aamm.OA-2021-0373

  55530 3235 pp. 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

  DOI:10.4208/aamm.OA-2022-0267

  28327 2742 pp. 279-304

• A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems

  Tao Zhang, Xiaolin Li

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0019

  27099 2698 pp. 24-46

• Unconditionally Energy-Dissipation- and Maximum-Bound-Principle-Preserving Scheme for the Time-Fractional Allen-Cahn Equation

  Dongdong Hu, Haorong Huang, Yayun Fu, Minghua Chen

  2025-12-22

  DOI:10.4208/aamm.OA-2025-0003

  1309 100 pp. 1503-1530

• 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

  DOI:10.4208/aamm.OA-2025-0085

  1609 111 pp. 1453-1502

• Two $P_4$ Nonconforming Finite Elements for the Biharmonic Equation on Rectangular Meshes

  Youai Li, Shangyou Zhang

  2026-08-01

  DOI:10.4208/aamm.OA-2025-0165

  796 95 pp. 1142-1154

• Analyzing Bending Problems of Plates on Elastic Foundations via Improved Element-Free Galerkin Method

  Heng Cheng, Dongqiong Liang, Fengbin Liu

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0238

  1056 125 pp. 1120-1141

• A Fully Discrete Method for Space-Time Fractional Parabolic Problems

  Zunlin Tan, Xiaoping Xie

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0056

  1041 96 pp. 1210-1241

• 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

  2026-08-01

  DOI:10.4208/aamm.OA-2023-0307

  1026 84 pp. 1155-1188

• A Crank-Nicolson Finite Difference Scheme for the (2+1)D Saturable Nonlinear Schrödinger Equation with Generalized Damping

  Anh Ha Le, Quan M. Nguyen

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0167

  4414 134 pp. 1009-1036

• A Discrete Collocation Technique Using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models

  Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0018

  4322 109 pp. 1058-1086