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Advances in Applied Mathematics and Mechanics
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  • 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
    48354 5001 Pages:87-100
  • 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
    42043 3600 Pages:1525-1546
  • 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
    275646 3715 Pages:1400-1432
  • A Novel Discretization Method for Semilinear Reaction-Diffusion Equation

    Luoping Chen, Yanping Chen
    2018-09-17
    44385 3116 Pages:409-423
  • 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
    11206 814 Pages:732-757
  • A New Two-Grid Method for Expanded Mixed Finite Element Solution of Nonlinear Reaction Diffusion Equations

    Shang Liu, Yanping Chen
    2018-08-04
    41230 2919 Pages:757-774
  • Finite Volume Element Method for a Nonlinear Parabolic Equation

    Yanwei Du, Yonghai Li
    2025-03-14
    11085 765 Pages:681-705
  • Conservative and Finite Volume Methods for the Convection-Dominated Pricing Problem

    Germán I. Ramírez-Espinoza, Matthias Ehrhardt
    2021-07-01
    44429 4739 Pages:759-790
  • An Inverse Source Problem with Sparsity Constraint for the Time-Fractional Diffusion Equation

    Zhousheng Ruan, Zhijian Yang, Xiliang Lu
    2018-05-05
    43811 4757 Pages:1-18
  • 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
    45405 3243 Pages:1084-1113
  • 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
    2025-10-14
    4232 265 Pages: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
    44375 3171 Pages:942-956
  • Modeling and Computation of CO2 Allowance Derivatives Under Jump-Diffusion Processes

    Shuhua Zhang, Jing Wang
    2018-05-05
    42501 3023 Pages:827-846
  • 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
    36721 2917 Pages:1290-1314
  • A Meshfree Technique for Numerical Simulation of Reaction-Diffusion Systems in Developmental Biology

    Zahra Jannesari, Mehdi Tatari
    2018-05-05
    45019 3029 Pages:1225-1249
  • Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods

    Luoping Chen, Yanping Chen
    2014-06-01
    43685 4639 Pages: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
    43070 4465 Pages:637-662
  • 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
    25738 2422 Pages:146-163
  • A Front-Tracking Method for Motion by Mean Curvature with Surfactant

    Ming-Chih Lai, Che-Wei Hsu, Huaxiong Huang
    2018-08-10
    39535 3888 Pages:288-300
  • Fourth Order Compact Boundary Value Method for Option Pricing with Jumps

    Spike T. Lee, Hai-Wei Sun
    2021-07-01
    40806 4028 Pages:845-861
  • 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
    270062 3707 Pages:1477-1508
  • 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
    8386 530 Pages:1310-1332
  • The Locally Conservative Galerkin (LCG) Method — a Discontinuous Methodology Applied to a Continuous Framework

    Rhodri L. T. Bevan, Raoul vanLoon, Perumal Nithiarasu
    2018-08-10
    40770 3740 Pages:319-340
  • An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

    Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun
    2020-07-24
    49484 3268 Pages:1196-1223
  • A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem

    Changfeng Li, Yirang Yuan, Aijie Cheng, Huailing Song
    2022-08-08
    300375 3940 Pages:1246-1275
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2025-10-29
    4501 112 Pages:724-755
  • Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

    Limei Li, Alexander Lapin, Shuhua Zhang
    2019-01-11
    44992 3044 Pages:535-558
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