Search Results

• A Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations

  Zhongguo Zhou, Dong Liang

  2018-05-05

  DOI:10.4208/aamm.2015.m1049

  42363 3101 pp. 795-817

• 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

  DOI:10.4208/aamm.OA-2018-0045

  46708 4547 pp. 197-215

• A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

  Eric Ngondiep

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0320

  11395 868 pp. 956-988

• Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

  Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao

  2018-05-05

  DOI:10.4208/aamm.2014.m811

  42130 4759 pp. 353-385 Open Access

• 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

  DOI:10.4208/aamm.OA-2020-0277

  45318 3140 pp. 1261-1292

• Numerical Schemes for Time-Space Fractional Vibration Equations

  Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0066

  45774 3234 pp. 806-826

• An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows

  Biao Peng, Chunhua Zhou, Junqiang Ai

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0004

  44415 3193 pp. 406-427

• The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation

  Dan Qin, Kai Fu, Dong Liang

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0173

  11582 918 pp. 732-757

• An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation

  Fuzheng Gao, Shangyou Zhang

  2024-12-31

  DOI:10.4208/aamm.OA-2023-0290

  13222 1219 pp. 538-553

• Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals

  Wenzhen Qu, Hongwei Gao, Yan Gu

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0178

  51026 4202 pp. 1398-1417

• A New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes

  Shengzhu Cui, Zhanjing Tao, Jun Zhu

  2022-06-13

  DOI:10.4208/aamm.OA-2021-0095

  43647 3621 pp. 1059-1086

• High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

  Junming Duan, Huazhong Tang

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0124

  142377 5909 pp. 1-29

• Implicit Runge-Kutta-Nyström Methods with Lagrange Interpolation for Nonlinear Second-Order IVPs with Time-Variable Delay

  Chengjian Zhang, Siyi Wang, Changyang Tang

  2024-01-04

  DOI:10.4208/aamm.OA-2022-0290

  27730 2477 pp. 423-436

• 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

  DOI:10.4208/aamm.OA-2023-0040

  15707 1453 pp. 1381-1409

• An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

  Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0153

  275934 3794 pp. 1400-1432

• A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

  Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0049

  26042 2568 pp. 146-163

• A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation

  Yufang Gao, Shengxiang Chang, Changna Lu

  2024-11-01

  DOI:10.4208/aamm.OA-2022-0097

  15440 1451 pp. 1451-1473

• A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel

  Jing Guo, Da Xu

  2020-07-24

  DOI:10.4208/aamm.OA-2019-0064

  50233 3344 pp. 1261-1279

• On a Large Time-Stepping Method for the Swift-Hohenberg Equation

  Zhengru Zhang, Yuanzi Ma

  2021-07-01

  DOI:10.4208/aamm.2014.m48

  44290 4219 pp. 992-1003

• Lattice Boltzmann Model for Time-Fractional Nonlinear Wave Equations

  Yibo Wang, Rui Du, Zhenhua Chai

  2022-04-11

  DOI:10.4208/aamm.OA-2021-0018

  45003 3701 pp. 914-935

• Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media

  Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar, Manoj K. Rajpoot

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0195

  14649 1266 pp. 315-349

• A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

  Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma

  2024-11-01

  DOI:10.4208/aamm.OA-2022-0302

  16176 1523 pp. 1358-1380

• Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

  Huimin Ma, Pengzhan Huang

  2026-02-01

  DOI:10.4208/aamm.OA-2023-0325

  5380 468 pp. 109-133

• Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations

  Xiaowei Bi, Demin Liu

  2024-11-01

  DOI:10.4208/aamm.OA-2022-0256

  15449 1424 pp. 1519-1548

• Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer

  Shu-Jie Li, Lili Ju

  2025-03-14

  DOI:10.4208/aamm.OA-2024-0023

  11463 818 pp. 758-777

• Stability Analysis and Order Improvement for Time Domain Differential Quadrature Method

  Fangzong Wang, Xiaobing Liao, Xiong Xie

  2018-05-05

  DOI:10.4208/aamm.2014.m794

  43827 4623 pp. 128-144

• Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

  Xu Wang, Weidong Zhao

  2023-02-24

  DOI:10.4208/aamm.OA-2022-0073

  39188 3451 pp. 737-768