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

  45197 3101 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

  15569 1414 Pages:1381-1409

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

  Xuenan Zhao, Jing An, Juan Zhang

  2026-08-01

  708 32 Pages:1189-1209

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

  Qiujin Peng

  2018-05-05

  45064 3102 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

  46585 4468 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

  44564 3082 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

  2026-06-01

  4068 63 Pages:1037-1057

• Solving Fourth-Order PDEs Using the LMAPS

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

  2020-06-01

  50782 3368 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

  11412 863 Pages:732-757

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

  Samir Karaa

  2018-08-10

  41929 4176 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

  45218 3626 Pages:893-913

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

  Xiaowei Chen, Xu Qian, Songhe Song

  2022-10-24

  45658 4156 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

  16028 1465 Pages:1358-1380

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

  Spike T. Lee, Hai-Wei Sun

  2021-07-01

  40940 4065 Pages:845-861

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

  Ali Ruhşen Çete, Oğuz Kaan Onay

  2022-02-25

  48098 3250 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

  50109 3302 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

  50880 4163 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

  39901 814700 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

  45737 3211 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

  47499 3498 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

  25909 2484 Pages:146-163

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

  Seakweng Vong, Zhibo Wang

  2014-06-01

  44360 4621 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

  14488 1161 Pages:315-349

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

  Ali Abbas

  2014-06-01

  41926 4302 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

  40771 3104 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

  8636 533 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

  41689 4293 Pages:235-257