Search Results

• A Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations

  Zhongguo Zhou, Dong Liang

  2018-05-05

  42251 3051 Pages:795-817

• A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

  Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji

  2021-06-08

  45197 3101 Pages:1261-1292

• Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

  Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao

  2018-05-05

  41999 4643 Pages:353-385 Open-access

• 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

  11412 863 Pages:732-757

• Numerical Schemes for Time-Space Fractional Vibration Equations

  Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang

  2021-04-13

  45657 3191 Pages:806-826

• 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

  25909 2484 Pages:146-163

• Lattice Boltzmann Model for Time-Fractional Nonlinear Wave Equations

  Yibo Wang, Rui Du & Zhenhua Chai

  2022-04-11

  44851 3666 Pages:914-935

• Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals

  Wenzhen Qu, Hongwei Gao, Yan Gu

  2021-11-17

  50880 4163 Pages:1398-1417

• 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

  275814 3761 Pages:1400-1432

• Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

  Huimin Ma, Pengzhan Huang

  2026-02-01

  5109 364 Pages:109-133

• High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

  Junming Duan, Huazhong Tang

  2020-03-06

  142170 5812 Pages:1-29

• 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

  44698 3316 Pages:1113-1136

• A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation

  Yufang Gao, Shengxiang Chang, Changna Lu

  2024-11-01

  15290 1414 Pages:1451-1473

• Stability Analysis and Order Improvement for Time Domain Differential Quadrature Method

  Fangzong Wang, Xiaobing Liao, Xiong Xie

  2018-05-05

  43721 4551 Pages:128-144

• 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

• Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer

  Shu-Jie Li, Lili Ju

  2025-03-14

  11299 776 Pages:758-777

• Implicit Runge-Kutta-Nyström Methods with Lagrange Interpolation for Nonlinear Second-Order IVPs with Time-Variable Delay

  Chengjian Zhang, Siyi Wang, Changyang Tang

  2024-01-04

  27580 2441 Pages:423-436

• A New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes

  Shengzhu Cui, Zhanjing Tao, Jun Zhu

  2022-06-13

  43511 3574 Pages:1059-1086

• Runge-Kutta Finite Element Method Based on the Characteristic for the Incompressible Navier-Stokes Equations

  Shaokai Liao, Yan Zhang, Da Chen

  2021-07-01

  50480 4183 Pages:1415-1435

• Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

  Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian

  2023-12-21

  26696 2361 Pages:208-236

• The Second-Order Mass-Conservative Characteristic Finite Difference Method for Sobolev Equation with Convection Term

  Kai Fu, Zhaohui Liu, Jiansong Zhang

  2026-06-01

  4040 55 Pages:947-960

• Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

  Cai-Feng Wang, Wai-Sun Don, Jia-Le Li, Bao-Shan Wang

  2025-09-29

  7157 418 Pages:1591-1624

• A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations

  Zhenming Wang, Jun Zhu, Ning Zhao

  2019-06-24

  44620 3126 Pages:911-941

• Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations

  Yuan Yu, Zuojian Qin, Siwei Chen, Shi Shu, Haizhuan Yuan

  2024-12-31

  13447 1266 Pages:489-516

• Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

  Shuiping Yang, Yubin Liu, Hongyu Liu, Chao Wang

  2021-11-18

  50374 4386 Pages:56-78

• Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

  Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt

  2026-02-01

  5125 361 Pages:134-169

• A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws

  Uttam Singh Rajput, Krishna Mohan Singh

  2021-11-18

  49998 4494 Pages:275-298