Search Results

• Stability of Regularized Lattice Boltzmann Model for Convection-Diffusion Equations

  Yuanhang Huang, Xinmeng Chen, Zhenhua Chai, Baochang Shi

  2025-07-19

  DOI:10.4208/aamm.OA-2022-0284

  8153 601 pp. 1370-1394

• Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods

  Luoping Chen, Yanping Chen

  2014-06-01

  DOI:10.4208/aamm.12-m12130

  43882 4752 pp. 203-219

• A Novel Discretization Method for Semilinear Reaction-Diffusion Equation

  Luoping Chen, Yanping Chen

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0011

  44666 3204 pp. 409-423

• An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

  Changfeng Li, Yirang Yuan, Huailing Song

  2021-07-01

  DOI:10.4208/aamm.OA-2017-0332

  46623 3937 pp. 1384-1417

• A New Two-Grid Method for Expanded Mixed Finite Element Solution of Nonlinear Reaction Diffusion Equations

  Shang Liu, Yanping Chen

  2018-08-04

  DOI:10.4208/aamm.2015.m1370

  41450 2991 pp. 757-774

• An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis

  Yirang Yuan, Changfeng Li, Huailing Song

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0207

  11559 902 pp. 706-731

• Moving Finite Element Methods for a System of Semi-Linear Fractional Diffusion Equations

  Jingtang Ma, Zhiqiang Zhou

  2021-07-01

  DOI:10.4208/aamm.2015.m1065

  44051 4120 pp. 911-931

• Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

  Shuiping Yang, Yubin Liu, Hongyu Liu, Chao Wang

  2021-11-18

  DOI:10.4208/aamm.OA-2020-0387

  50510 4492 pp. 56-78

• Algebraic Multigrid Block Triangular Preconditioning for Multidimensional Three-Temperature Radiation Diffusion Equations

  Shi Shu, Menghuan Liu, Xiaowen Xu, Xiaoqiang Yue, Shengguo Li

  2021-06-08

  DOI:10.4208/aamm.OA-2020-0210

  45437 3260 pp. 1203-1226

• High-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips

  Haixia Dong, Miao Wang, Dongsheng Yin, Qian Zhang

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0115

  46753 3354 pp. 664-693

• Mathematical Modelling and Analysis of Lamb Waves in Elasto-Thermodiffusive Plates

  J. N. Sharma, P. K. Sharma

  2010-02-01

  DOI:10.4208/aamm.09-m0945

  40623 3859 pp. 238-258

• 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

• Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations

  X. Q. Yue, W. P. Bu, S. Shu, M. H. Liu, S. Wang

  2018-09-17

  DOI:10.4208/aamm.OA-2018-0046

  45673 3256 pp. 1103-1125

• A Generalized Local Grid Refinement Approach for Modeling of Multi-Physicochemical Transports by Lattice Boltzmann Method

  Amer Alizadeh, Moran Wang

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0130

  45562 4727 pp. 312-337 Open Access

• A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis

  Wei Qu, Yuanyuan Huang, Siu-Long Lei

  2024-11-01

  DOI:10.4208/aamm.OA-2023-0050

  15908 1433 pp. 1474-1501

• 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 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

• Optimization of Identifying Point Pollution Sources for the Convection-Diffusion-Reaction Equations

  Yujing Yuan, Dong Liang

  2020-10-20

  DOI:10.4208/aamm.OA-2019-0121

  51496 5060 pp. 1-17

• Two Lattice Boltzmann Models for Three-Dimensional Coupled Burgers’ Equations

  Qianhuan Li, Fumei Rong, Zhenhua Chai, Baochang Shi

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0110

  4314 135 pp. 874-896

• Strong Converge Order of the General One-Step Method for Neutral Stochastic Delay Differential Equations under a Global Monotone Condition

  Chao Yue, Haoyong Zhuang, Longbin Zhao

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0017

  7282 382 pp. 1654-1681

• The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable Coefficients

  C. M. Fan, C.S. Chen, J. Monroe

  2018-08-10

  43154 4519 pp. 215-230

• A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

  Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0205

  45637 3298 pp. 1084-1113

• A Modified Regularized Lattice Boltzmann Method for Coupled Thermal-Solutal Problems of Non-Newtonian Fluids in Heterogeneously Porous Media

  Xuguang Yang, Yong Zhao

  2025-05-12

  DOI:10.4208/aamm.OA-2024-0252

  8799 624 pp. 1310-1332

• Lattice Boltzmann Simulation of Free-Surface Temperature Dispersion in Shallow Water Flows

  Mohammed Seaïd, Guido Thömmes

  2018-08-10

  41584 3958 pp. 415-437

• The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

  Zhiyong Xing, Liping Wen

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0162

  44604 3234 pp. 942-956

• A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations

  Huasheng Wang, Yanping Chen, Yunqing Huang, Wenting Mao

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0137

  48600 5146 pp. 87-100

• An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces

  Weidong Shi, Jianjun Xu, Shi Shu

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0052

  42921 3883 pp. 1364-1382