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

  DOI:10.4208/nmtma.OA-2019-0038

  46119 4466 pp. 253-280

• 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

  DOI:10.4208/nmtma.OA-2019-0033

  46978 2878 pp. 1068-1097

• 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

  DOI:10.4208/nmtma.OA-2018-0043

  44687 4985 pp. 312-330

• 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

  DOI:10.4208/nmtma.OA-2017-0144

  48829 2747 pp. 1168-1190

• 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

  DOI:10.4208/nmtma.OA-2022-0123

  29034 2652 pp. 634-667

• 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

  DOI:10.4208/nmtma.OA-2024-0135

  5194 452 pp. 817-844

• Maximum-Principle-Preserving High-Order Conservative Difference Schemes for Convection-Dominated Diffusion Equations

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-12-11

  DOI:10.4208/nmtma.OA-2023-0165

  12316 1285 pp. 855-881

• 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

  DOI:10.4208/nmtma.OA-2022-0050

  40775 9016503 pp. 511-540

• 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

  DOI:10.4208/nmtma.OA-2022-0049

  35009 3309 pp. 140-164

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

  Liping Gao, Xiaorui Sang, Rengang Shi

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0121

  46082 2999 pp. 788-813

• 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

  DOI:10.4208/nmtma.OA-2018-0026

  44555 2796 pp. 681-708

• 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

  DOI:10.4208/nmtma.2014.1316nm

  41700 4537 pp. 23-40

• 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

  DOI:10.4208/nmtma.OA-2025-0002

  5182 458 pp. 703-732

• A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates

  R.K. Mohanty, Li Yuan, Divya Sharma

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0053

  45402 2669 pp. 488-507

• An Implicit Scheme for Solving Unsteady Boltzmann Model Equation

  Xiaowei Li, Chunxin Li, Dan Zhang, Zhihui Li

  2018-12-17

  DOI:10.4208/nmtma.OA-2018-0016

  42819 2916 pp. 594-606

• Efficient Simulation of Wave Propagation with Implicit Finite Difference Schemes

  Wensheng Zhang, Li Tong, Eric T. Chung

  2018-08-14

  DOI:10.4208/nmtma.2011.m1026

  39670 3797 pp. 205-228

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

  Grigory I. Shishkin

  2008-01-01

  37896 3350 pp. 214-234

• Artificial Boundary Conditions for Time-Fractional Telegraph Equation

  Wang Kong, Zhongyi Huang

  2022-03-23

  DOI:10.4208/nmtma.OA-2021-0067

  46346 3002 pp. 360-386

• 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

  DOI:10.4208/nmtma.OA-2018-0019

  46060 2709 pp. 1119-1140

• An Unconditionally Stable and High-Order Convergent Difference Scheme for Stokes' First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative

  Cuicui Ji, Zhizhong Sun

  2017-10-01

  DOI:10.4208/nmtma.2017.m1605

  38897 2708 pp. 597-613

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

  J. Christy Roja, A. Tamilselvan

  2014-07-01

  DOI:10.4208/nmtma.2014.y12030

  40396 3854 pp. 265-287

• A Compact Difference Scheme for an Evolution Equation with a Weakly Singular Kernel

  Hongbin Chen, Da Xu

  2012-05-01

  DOI:10.4208/nmtma.2012.m11032

  43646 4062 pp. 559-572

• The Immersed Interface Hybridized Difference Method for Parabolic Interface Problems

  Youngmok Jeon, Son-Young Yi

  2022-03-23

  DOI:10.4208/nmtma.OA-2021-0154

  44757 2855 pp. 336-359

• A Second-Order Semi-Implicit Method for the Inertial Landau-Lifshitz-Gilbert Equation

  Panchi Li, Lei Yang, Jin Lan, Rui Du, Jingrun Chen

  2023-01-13

  DOI:10.4208/nmtma.OA-2022-0080

  38616 3453 pp. 182-203

• Assessment of Noise Attenuation by Thin Reflecting Barriers Using Dispersion Relation Preserving Scheme

  Jitenjaya Pradhan, Yogesh G. Bhumkar

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0095

  42787 2730 pp. 942-968

• 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

  DOI:10.4208/nmtma.OA-2018-0046

  44214 2851 pp. 845-866

• Uniform Convergence Analysis of Finite Difference Scheme for Singularly Perturbed Delay Differential Equation on an Adaptively Generated Grid

  Jugal Mohapatra, Srinivasan Natesan

  2018-08-14

  DOI:10.4208/nmtma.2009.m8015

  40128 4346 pp. 1-22