Search Results

• The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

  Jinye Shen, Xuping Wang, Zhi-zhong Sun

  2020-03-06

  46114 4457 Pages:253-280

• A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations

  Tao Wang, Tiegang Liu

  2018-09-18

  44679 4977 Pages:312-330

• Effect of Flux Evaluation Methods on the Resolution and Robustness of the Two-Step Finite-Difference WENO Scheme

  T. Kamiya, M. Asahara, T. Nonomura

  2020-12-02

  46976 2873 Pages:1068-1097

• Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System

  Shasha Bian, Yue Cheng, Boling Guo, Tingchun Wang

  2023-01-13

  35001 3299 Pages:140-164

• Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation

  Cui-Cui Ji, Weizhong Dai

  2023-04-10

  40768 9016501 Pages:511-540

• An Unconditionally Stable Laguerre Based Finite Difference Method for Transient Diffusion and Convection-Diffusion Problems

  Wescley T. B. de Sousa, Carlos F. T. Matt

  2019-04-22

  44548 2792 Pages:681-708

• Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates

  Guang-Hua Gao, Biao Ge, Zhi-Zhong Sun

  2023-08-29

  29026 2649 Pages:634-667

• A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

  Hong Sun, Zhi-zhong Sun, Rui Du

  2019-10-12

  48826 2742 Pages:1168-1190

• Entirely Exponential-Type Scheme (E2S) for Optimization Problems with Singularly Perturbed ODE Constraints: The Model Problem

  Mengyu Li, Tiegang Liu, Kui Cao, Chengliang Feng, Bin Zhang, Weixiong Yuan

  2025-09-01

  5187 446 Pages:817-844

• A Fitted Numerov Method for Singularly Perturbed Parabolic Partial Differential Equation with a Small Negative Shift Arising in Control Theory

  R. Nageshwar Rao, P. Pramod Chakravarthy

  2014-07-01

  41694 4530 Pages:23-40

• Efficient Simulation of Wave Propagation with Implicit Finite Difference Schemes

  Wensheng Zhang, Li Tong, Eric T. Chung

  2018-08-14

  39666 3794 Pages:205-228

• A Finite Difference Scheme for Blow-Up Solutions of Nonlinear Wave Equations

  Chien-Hong Cho

  2010-03-01

  42176 4086 Pages:475-498

• Energy Identities and Stability Analysis of the Yee Scheme for 3D Maxwell Equations

  Liping Gao, Xiaorui Sang, Rengang Shi

  2020-03-16

  46079 2997 Pages:788-813

• Artificial Boundary Conditions for Time-Fractional Telegraph Equation

  Wang Kong, Zhongyi Huang

  2022-03-23

  46344 2999 Pages:360-386

• Numerical Method for Singularly Perturbed Third Order Ordinary Differential Equations of Convection-Diffusion Type

  J. Christy Roja, A. Tamilselvan

  2014-07-01

  40394 3851 Pages:265-287

• Convergence Analysis on a Second-Order, Positive, and Unconditional Energy Dissipative Scheme for the Poisson-Nernst-Planck Equations

  Jie Ding, Xiang Ji, Ziheng Xu

  2025-09-01

  5177 456 Pages:703-732

• An Implicit Scheme for Solving Unsteady Boltzmann Model Equation

  Xiaowei Li, Chunxin Li, Dan Zhang, Zhihui Li

  2018-12-17

  42812 2914 Pages:594-606

• A Finite Difference Scheme on $a$ $priori$ Adapted Meshes for a Singularly Perturbed Parabolic Convection-Diffusion Equation

  Grigory I. Shishkin

  2008-01-01

  37893 3347 Pages:214-234

• Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations

  Tongke Wang

  2010-03-01

  41885 4213 Pages:499-522

• The Immersed Interface Hybridized Difference Method for Parabolic Interface Problems

  Youngmok Jeon, Son-Young Yi

  2022-03-23

  44756 2853 Pages:336-359

• Error Estimates and Superconvergence of a High-Accuracy Difference Scheme for a Parabolic Inverse Problem with Unknown Boundary Conditions

  Liping Zhou, Shi Shu, Haiyuan Yu

  2019-10-12

  46057 2706 Pages:1119-1140

• Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

  Mingrong Cui

  2019-04-22

  44211 2849 Pages:845-866

• A Highly Efficient Adaptive Mesh Refinement Algorithm for the 1D Schrödinger-Poisson Problem

  Meili Guo, Haiyan Jiang, Tiao Lu, Wenqi Yao

  2025-10-22

  5693 383 Pages:881-902

• New Sixth-Order Compact Schemes for Poisson/Helmholtz Equations

  Kejia Pan, Kang Fu, Jin Li, Hongling Hu, Zhilin Li

  2023-04-10

  38330 2961 Pages:393-409

• Numerical Solution to the Multi-Term Time Fractional Diffusion Equation in a Finite Domain

  Gongsheng Li, Chunlong Sun, Xianzheng Jia, Dianhu Du

  2016-09-01

  40005 2773 Pages:337-357

• Simulations of Shallow Water Equations by Finite Difference WENO Schemes with Multilevel Time Discretization

  Changna Lu, Gang Li

  2011-04-01

  41797 3562 Pages:505-524

• Finite-Difference Methods for a Class of Strongly Nonlinear Singular Perturbation Problems

  Relja Vulanović

  2008-01-01

  38167 3586 Pages:235-244