Search Results

• A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems

  Fajie Wang, Chia-Ming Fan, Chuanzeng Zhang, Ji Lin

  2020-06-01

  DOI:10.4208/aamm.OA-2019-0269

  54399 3536 pp. 940-958

• Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

  Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang

  2024-07-22

  DOI:10.4208/aamm.OA-2023-0117

  26568 2475 pp. 1197-1222

• Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

  Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0263

  40942 3320 pp. 322-358

• Viscosity and Diffusion Effects at the Boundary Surface of Viscous Fluid and Thermoelastic Diffusive Solid Medium

  Rajneesh Kumar, Tarun Kansal

  2018-08-10

  DOI:10.4208/aamm.10-m1016

  41690 4209 pp. 219-238

• 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

• The Exponential Transformation Based Lattice Boltzmann Model for Convection-Diffusion Equation

  Ting Zhang, Shuqi Cui, Ning Hong, Baochang Shi

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0031

  14551 1227 pp. 224-239

• 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

• Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation

  Wansheng Wang, Chengyu Jin, Yi Huang

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0150

  11429 879 pp. 840-866

• 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

• High-Resolution Upwind Strategy for the MLS Method with Applications to Convection Dominated Diffusion Problems

  Xueying Zhang, Nuoya Cui, Yangjiong Wu

  2025-07-19

  DOI:10.4208/aamm.OA-2022-0327

  8123 603 pp. 1353-1369

• 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

• Discrete Maximum Principle Based on Repair Technique for Finite Element Scheme of Anisotropic Diffusion Problems

  Xingding Chen, Guangwei Yuan, Yunlong Yu

  2021-07-01

  DOI:10.4208/aamm.2013.m445

  42989 4426 pp. 849-866

• 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

• Contaminant Flow and Transport Simulation in Cracked Porous Media Using Locally Conservative Schemes

  Pu Song, Shuyu Sun

  2012-04-01

  DOI:10.4208/aamm.10-m1108

  42404 4769 pp. 389-421

• 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

• 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

• Adaptive Finite Element Solutions of a Diffusion Model for Drug Release in PLGA Microspheres

  Hongyu Chen, Guanghui Hu, Defang Ouyang

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0219

  4397 143 pp. 897-922

• Convergence Analysis of a Weak Galerkin Finite Element Method on a Bakhvalov-Type Mesh for a Singularly Perturbed Convection-Diffusion Equation in 2D

  Shicheng Liu, Xiangyun Meng, Qilong Zhai

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0150

  5003 468 pp. 348-368

• 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

• 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

• 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 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

• Modeling and Computation of CO2 Allowance Derivatives Under Jump-Diffusion Processes

  Shuhua Zhang, Jing Wang

  2018-05-05

  DOI:10.4208/aamm.2015.m1001

  42735 3084 pp. 827-846