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

  Pu Song, Shuyu Sun

  2012-04-01

  42290 4673 Pages:389-421

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

  Ting Zhang, Shuqi Cui, Ning Hong, Baochang Shi

  2024-12-02

  14384 1125 Pages:224-239

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

  Yuanhang Huang, Xinmeng Chen, Zhenhua Chai, Baochang Shi

  2025-07-19

  7953 543 Pages:1370-1394

• 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

  26440 2423 Pages: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

  40731 3286 Pages:322-358

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

  Weidong Shi, Jianjun Xu, Shi Shu

  2021-07-01

  42804 3842 Pages:1364-1382

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

  Wansheng Wang, Chengyu Jin, Yi Huang

  2025-03-14

  11260 835 Pages:840-866

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

  Rajneesh Kumar, Tarun Kansal

  2018-08-10

  41587 4132 Pages:219-238

• Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method

  D. B. Dhaigude, Gunvant A. Birajdar

  2014-06-01

  45536 5005 Pages:107-119

• 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

  15569 1414 Pages:1381-1409

• 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

  46515 3905 Pages:1384-1417

• A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

  Yunxia Wang, Xuefeng Han, Zhiyong Si

  2020-03-06

  48690 5012 Pages:251-277

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

  Yirang Yuan, Changfeng Li, Huailing Song

  2025-03-14

  11402 853 Pages:706-731

• 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

  39226 5008 Pages:402-427

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

  Can Li, Weihua Deng

  2018-05-05

  42260 3029 Pages:282-306

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

  Sergiy Reutskiy, Ji Lin, Bin Zheng, Jiyou Tong

  2020-12-21

  47576 3147 Pages:590-618

• 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

  45737 3211 Pages:1005-1026

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

  Yujing Yuan, Dong Liang

  2020-10-20

  51347 4985 Pages:1-17

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

  Jinhua Lu

  2025-09-29

  7059 323 Pages:1715-1741

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

  Alexander Lapin, Shuhua Zhang, Sergey Lapin, Na Yan

  2021-07-01

  48936 4451 Pages:1358-1375

• Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method

  Hassan Zakerdoost, Hassan Ghassemi, Mehdi Iranmanesh

  2018-08-04

  42294 3102 Pages:680-697

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

  Mohammed Seaïd, Guido Thömmes

  2018-08-10

  41466 3882 Pages:415-437

• A Boundary Meshless Method for Solving Heat Transfer Problems Using the Fourier Transform

  A. Tadeu, C. S. Chen, J. Antόnio, Nuno Simões

  2011-03-01

  40878 4294 Pages:572-585

• Modelling and Numerical Valuation of Power Derivatives in Energy Markets

  Mai Huong Nguyen, Matthias Ehrhardt

  2012-04-01

  41253 5116 Pages:259-293 Open-access

• Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

  Na Zhang, Weihua Deng, Yujiang Wu

  2012-04-01

  42520 4655 Pages:496-518

• Alternating Cell Direction Implicit Method Using Approximate Factorization on Hybrid Grids

  Ali Ruhşen Çete, Oğuz Kaan Onay

  2022-02-25

  48098 3250 Pages:539-576

• Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

  Qing Cheng, Cheng Wang

  2021-11-17

  118890 6054 Pages:1318-1354