Search Results

• 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

• 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

  15403 1374 Pages:1381-1409

• High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain

  Xuenan Zhao, Jing An, Juan Zhang

  2025-11-28

  93 3

• A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

  Qiujin Peng

  2018-05-05

  44947 3079 Pages:1162-1188

• A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method

  Shichao Yi, Hongguang Sun

  2019-01-04

  46429 4416 Pages:197-215

• A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation

  Shimin Chai, Yongkui Zou, Wenju Zhao

  2019-01-11

  44443 3061 Pages:467-485

• A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation

  Hongbo Guan, Wen Liu, Yong Yang

  2025-11-22

  158 3

• Solving Fourth-Order PDEs Using the LMAPS

  Cheng Deng, Hui Zheng, Yan Shi, C. S. Chen

  2020-06-01

  50611 3337 Pages:920-939

• 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

  11206 814 Pages:732-757

• Finite Element $θ$-Schemes for the Acoustic Wave Equation

  Samir Karaa

  2018-08-10

  41812 4130 Pages:181-203

• Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles

  Xiaofan Zhang, Shoufu Tian & Jinjie Yang

  2022-04-11

  45043 3573 Pages:893-913

• Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation

  Xiaowei Chen, Xu Qian, Songhe Song

  2022-10-24

  45500 4076 Pages:159-181

• 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

• Fourth Order Compact Boundary Value Method for Option Pricing with Jumps

  Spike T. Lee, Hai-Wei Sun

  2021-07-01

  40806 4028 Pages:845-861

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

  Ali Ruhşen Çete, Oğuz Kaan Onay

  2022-02-25

  47957 3211 Pages:539-576

• A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel

  Jing Guo, Da Xu

  2020-07-24

  49967 3264 Pages:1261-1279

• 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

• Iterative Method for Solving a Problem with Mixed Boundary Conditions for Biharmonic Equation

  Quang A Dang, Le Tung Son

  2018-08-10

  39772 814619 Pages:683-698

• 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

  45533 3141 Pages:1005-1026

• 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

• 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

• Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

  Seakweng Vong, Zhibo Wang

  2014-06-01

  44256 4570 Pages:419-435

• Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media

  Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar, Manoj K. Rajpoot

  2024-12-02

  14173 1058 Pages:315-349

• An Efficient Numerical Solution Method for Elliptic Problems in Divergence Form

  Ali Abbas

  2014-06-01

  41809 4239 Pages:327-344

• Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme

  R. Sivakumar, S. Vimala, S. Damodaran, T. V. S. Sekhar

  2018-05-05

  40660 3075 Pages:449-463

• Physics-Informed Deep Learning Method for Surrogate Modeling in Elastic Mechanics

  Dan Li, Xinming Lu, Hongjuan Wang, Guibin Liu, Xin Liu

  2025-05-12

  8360 472 Pages:1239-1258

• A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media

  Meiling Zhao

  2013-05-01

  41591 4231 Pages:235-257