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  • A First-Order Linear Energy Stable Scheme for the Cahn–Hilliard Equation with Dynamic Boundary Conditions Under the Effect of Hyperbolic Relaxation

    Minghui Yu, Rui Chen
    2026-02-06
    DOI:10.4208/aamm.OA-2025-0180
    1063 106 pp. 1616-1648
  • Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow

    Md. Abdullah Al Mahbub, Shahid Hussain, Nasrin Jahan Nasu, Haibiao Zheng
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0186
    45019 3173 pp. 1191-1226
  • 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
  • Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations

    Lina Ma, Cheng Wang, Zeyu Xia
    2024-12-31
    DOI:10.4208/aamm.OA-2023-0118
    13391 1255 pp. 633-662
  • 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
  • Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations

    Huipo Liu, Shuanghu Wang, Hongbin Han
    2018-05-05
    DOI:10.4208/aamm.2015.m1104
    42801 3005 pp. 871-886
  • 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 Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative

    N. H. Sweilam, M. M. Abou Hasan
    2018-05-05
    DOI:10.4208/aamm.2015.m1312
    42503 2986 pp. 990-1011
  • Simulations of Two-Step Maruyama Methods for Nonlinear Stochastic Delay Differential Equations

    Wanrong Cao, Zhongqiang Zhang
    2021-07-01
    DOI:10.4208/aamm.12-12S11
    42924 4306 pp. 821-832
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

    Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
    2022-08-08
    DOI:10.4208/aamm.OA-2021-0331
    270396 3806 pp. 1477-1508
  • Numerical Solution for Neutral Delay Differential Equation of Constant or Proportional Type Using Hybrid Block Method

    Nur Inshirah Naqiah Ismail, Zanariah Abdul Majid, Norazak Senu
    2022-06-13
    DOI:10.4208/aamm.OA-2020-0054
    42396 3552 pp. 1138-1160
  • Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

    Wangbo Luo, Yanxiang Zhao
    2024-12-02
    DOI:10.4208/aamm.OA-2024-0161
    17683 1291 pp. 69-103
  • 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
  • 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
  • A Double-Passage Shape Correction Method for Predictions of Unsteady Flow and Aeroelasticity in Turbomachinery

    Tongqing Guo, Di Zhou, Zhiliang Lu
    2018-05-05
    DOI:10.4208/aamm.2016.m1478
    42515 3020 pp. 839-860
  • Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

    Seakweng Vong, Zhibo Wang
    2014-06-01
    DOI:10.4208/aamm.2014.4.s1
    44461 4686 pp. 419-435
  • Efficient Reconstruction Methods for Nonlinear Elliptic Cauchy Problems with Piecewise Constant Solutions

    Herbert Egger, Antonio Leitao
    2021-07-01
    DOI:10.4208/aamm.09-m09S03
    41669 4773 pp. 729-749
  • Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

    Na Zhang, Weihua Deng, Yujiang Wu
    2012-04-01
    DOI:10.4208/aamm.10-m1210
    42650 4733 pp. 496-518
  • Numerical Simulation of a Multi-Frequency Resistivity Logging-While-Drilling Tool Using a Highly Accurate and Adaptive Higher-Order Finite Element Method

    Zhonghua Ma, Dejun Liu, Hui Li, Xinsheng Gao
    2012-04-01
    DOI:10.4208/aamm.10-m11158
    42020 4653 pp. 439-453
  • Finite Element Method Coupling Penalty Method for Flexural Shell Model

    Xiaoqin Shen, Yongjie Xue, Qian Yang, Shengfeng Zhu
    2022-01-24
    DOI:10.4208/aamm.OA-2020-0304
    42385 3316 pp. 365-385
  • High Order Efficient Algorithm for Computation of MHD Flow Ensembles

    Muhammad Mohebujjaman
    2022-06-13
    DOI:10.4208/aamm.OA-2021-0154
    43377 3537 pp. 1111-1137
  • A Linearized Difference Scheme for Time-Fractional Sine-Gordon Equation

    Zhiyong Xing, Liping Wen
    2020-12-18
    DOI:10.4208/aamm.OA-2019-0346
    44390 3275 pp. 285-295
  • A Conservative Gradient Discretization Method for Parabolic Equations

    Huifang Zhou, Zhiqiang Sheng, Guangwei Yuan
    2020-10-20
    DOI:10.4208/aamm.OA-2020-0047
    48743 4467 pp. 232-260
  • 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
  • First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density

    Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang
    2026-04-01
    DOI:10.4208/amm.OA-2024-0065
    5051 200 pp. 666-699
  • Inexact Iterative WYD Method for Eigenvalue Problems

    Fangyi Zheng, Jianyang Luo, Shuli Sun
    2026-02-01
    DOI:10.4208/aamm.OA-2023-0024
    5290 445 pp. 93-108
  • 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
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