Search Results

• A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

  Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma

  2024-11-01

  15838 1410 Pages:1358-1380

• 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

• High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes

  Xiaogang Deng, Huajun Zhu, Yaobing Min, Huayong Liu, Meiliang Mao, Guangxue Wang

  2020-01-17

  49137 3346 Pages:436-479

• A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

  Guofei Pang, Wen Chen, Kam Yim Sze

  2018-05-05

  43675 4554 Pages:166-186

• A Multi-Dimensional Shock-Capturing Limiter for High-Order Least Square-Based Finite Difference-Finite Volume Method on Unstructured Grids

  Yangyang Liu, Liming Yang, Chang Shu, Huangwei Zhang

  2020-12-21

  46810 3272 Pages:671-700

• 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

  45031 3067 Pages:1261-1292

• Numerical Analysis of Two-Grid Block-Centered Finite Difference Method for Two-Phase Flow in Porous Medium

  Jing Zhang, Hongxing Rui

  2022-08-08

  273823 3791 Pages:1433-1455

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

  Na Zhang, Weihua Deng, Yujiang Wu

  2012-04-01

  42409 4603 Pages:496-518

• On Stable Difference Schemes for the Solution of Soliton Type Coupled Sine-Gordon Equations in the Weak Sense

  Ozgur Yildirim

  2025-11-22

  197 2

• Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference Scheme with Computation of a Sonic Injector in Supersonic Cross Flow

  Wai-Sun Don, Antonio de Gregorio, Jean-Piero Suarez, Gustaaf B. Jacobs

  2021-07-01

  43243 4292 Pages:719-736

• A New Finite Volume Element Formulation for the Non-Stationary Navier-Stokes Equations

  Zhendong Luo

  2014-06-01

  42778 4334 Pages:615-636

• 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 Second-Order Three-Level Difference Scheme for a Magneto-Thermo-Elasticity Model

  Hai-Yan Cao, Zhi-Zhong Sun, Xuan Zhao

  2014-06-01

  42103 4188 Pages:281-298

• Analyses of the Dispersion Overshoot and Inverse Dissipation of the High-Order Finite Difference Scheme

  Qin Li, Qilong Guo, Hanxin Zhang

  2021-07-01

  44930 4414 Pages:809-824

• A Fast Cascadic Multigrid Method for Direct Finite Difference Discretizations of 3D Biharmonic Equations on Rectangular Domains

  Kejia Pan, Pengde Wang, Jinxuan Wang, Xiaoxin Wu

  2025-10-14

  4525 278 Pages:170-188

• A Crank-Nicolson Finite Difference Scheme for the (2+1)D Saturable Nonlinear Schrödinger Equation with Generalized Damping

  Anh Ha Le, Quan M. Nguyen

  2025-11-22

  185 2

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

  Kai Fu, Zhaohui Liu, Jiansong Zhang

  2025-11-22

  175 5

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

  Junming Duan, Huazhong Tang

  2020-03-06

  141982 5685 Pages:1-29

• An Efficient High Order Well-Balanced Finite Difference WENO Scheme for the Blood Flow Model

  Shouguo Qian, Gang Li, Xianqing Lv, Fengjing Shao

  2018-09-17

  52940 5247 Pages:22-40

• Fourth-Order Compact Split-Step Finite Difference Method for Solving the Two- and Three-Dimensional Nonlinear Schrödinger Equations

  Rena Eskar, Xinlong Feng, Pengzhan Huang

  2018-09-17

  47385 3468 Pages:879-895

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

  Alexander Lapin, Shuhua Zhang, Sergey Lapin, Na Yan

  2021-07-01

  48803 4424 Pages:1358-1375

• The Formulation of Finite Difference Hermite RBF-WENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

  Rooholah Abedian

  2025-05-12

  8325 494 Pages:1275-1309

• The Formulation of Finite Difference RBFWENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

  Rooholah Abedian, Mehdi Dehghan

  2023-04-11

  38309 3187 Pages:1023-1055

• Effect of Nonuniform Grids on High-Order Finite Difference Method

  Dan Xu, Xiaogang Deng, Yaming Chen, Guangxue Wang, Yidao Dong

  2018-05-05

  40777 2846 Pages:1012-1034

• A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE's

  Kosuke Abe, Nobuyuki Higashimori, Masayoshi Kubo, Hiroshi Fujiwara, Yuusuke Iso

  2014-06-01

  43914 4242 Pages:693-698

• 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

  50669 4117 Pages:1398-1417

• A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem

  Jiansong Zhang, Yue Yu, Rong Qin, Zhaohui Liu

  2023-12-21

  25840 2233 Pages:164-180