Search Results

• Extremum-Preserving Correction of the Nine-Point Scheme for Diffusion Equation on Distorted Meshes

  Wang Kong, Zhenying Hong, Guangwei Yuan, Zhiqiang Sheng

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0280

  39382 5057 pp. 402-427

• On the Convergence of a Crank-Nicolson Fitted Finite Volume Method for Pricing European Options Under Regime-Switching Kou’s Jump-Diffusion Models

  Xiaoting Gan, Junfeng Yin, Rui Li

  2023-06-21

  DOI:10.4208/aamm.OA-2021-0016

  36982 2979 pp. 1290-1314

• A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation

  Can Li, Weihua Deng

  2018-05-05

  DOI:10.4208/aamm.2015.m1069

  42371 3066 pp. 282-306

• Numerical Inversion for the Initial Distribution in the Multi-Term Time-Fractional Diffusion Equation Using Final Observations

  Chunlong Sun, Gongsheng Li, Xianzheng Jia

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0170

  42273 3662 pp. 1525-1546

• 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

• 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 Meshfree Technique for Numerical Simulation of Reaction-Diffusion Systems in Developmental Biology

  Zahra Jannesari, Mehdi Tatari

  2018-05-05

  DOI:10.4208/aamm.2015.m1085

  45233 3083 pp. 1225-1249

• 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 High-Accuracy Finite Difference Scheme for Solving Reaction-Convection-Diffusion Problems with a Small Diffusivity

  Po-Wen Hsieh, Suh-Yuh Yang, Cheng-Shu You

  2014-06-01

  DOI:10.4208/aamm.2014.5.s4

  43292 4615 pp. 637-662

• On Modifications of Continuous and Discrete Maximum Principles for Reaction-Diffusion Problems

  István Faragό, Sergey Korotov, Tamás Szabό

  2011-03-01

  DOI:10.4208/aamm.10-m1027

  41863 4586 pp. 109-120

• Fitted Finite Volume Method for Pricing American Options under Regime-Switching Jump-Diffusion Models Based on Penalty Method

  Xiaoting Gan, Jun-Feng Yin, Rui Li

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0017

  45245 3407 pp. 748-773

• A Discontinuous Galerkin Method by Patch Reconstruction for Convection-Diffusion Problems

  Zhiyuan Sun, Jun Liu, Pei Wang

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0193

  45729 3361 pp. 729-747

• The Modified Localized Method of Approximated Particular Solutions for Linear and Nonlinear Convection-Diffusion-Reaction PDEs

  Wen Li, Kalani Rubasinghe, Guangming Yao, L. H. Kuo

  2020-07-24

  DOI:10.4208/aamm.OA-2019-0033

  44812 3356 pp. 1113-1136

• Moving Finite Element Simulations for Reaction-Diffusion Systems

  Guanghui Hu, Zhonghua Qiao, Tao Tang

  2012-04-01

  DOI:10.4208/aamm.10-m11180

  42763 4563 pp. 365-381

• 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

• 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

• Upwind Strategy for Localized Method of Approximate Particular Solutions with Applications to Convection Dominated Diffusion Problems

  Xueying Zhang, Luyu Ran

  2020-12-18

  DOI:10.4208/aamm.OA-2019-0103

  43713 3305 pp. 455-466

• A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media

  Sergiy Reutskiy, Ji Lin, Bin Zheng, Jiyou Tong

  2020-12-21

  DOI:10.4208/aamm.OA-2020-0052

  47705 3185 pp. 590-618

• 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

• 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

• Implicit-Explicit Methods for the Efficient Simulation of the Settling of Dispersions of Droplets and Colloidal Particles

  Raimund Bürger, Pep Mulet, Lihki Rubio

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0029

  44496 3133 pp. 445-467

• 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

• 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

• Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes

  Jinhua Lu

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0128

  7272 386 pp. 1715-1741

• An Inverse Source Problem with Sparsity Constraint for the Time-Fractional Diffusion Equation

  Zhousheng Ruan, Zhijian Yang, Xiliang Lu

  2018-05-05

  DOI:10.4208/aamm.2014.m722

  44023 4905 pp. 1-18

• Analysis of Finite Difference Approximations of an Optimal Control Problem in Economics

  Alexander Lapin, Shuhua Zhang, Sergey Lapin, Na Yan

  2021-07-01

  DOI:10.4208/aamm.OA-2018-0186

  49044 4491 pp. 1358-1375

• 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