粘性Burgers’方程的线性化Crank-Nicolson格式（英文）

祖丽胡玛尔·卡迪尔; 李宁; 冯新龙

您当前的位置：

首页 >

文章列表页 >

粘性Burgers’方程的线性化Crank-Nicolson格式（英文）

更新时间：2026-01-21

- 粘性Burgers’方程的线性化Crank-Nicolson格式（英文）
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 31, Issue 4, Pages: 427-431(2014)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O241.82
- Published：2014
- 稿件说明：
移动端阅览
[1]祖丽胡玛尔·卡迪尔,李宁,冯新龙.粘性Burgers’方程的线性化Crank-Nicolson格式（英文）[J].新疆大学学报(自然科学版),2014,31(04):427-431.

祖丽胡玛尔·卡迪尔, 李宁, 冯新龙. 粘性Burgers’方程的线性化Crank-Nicolson格式（英文）[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(4): 427-431.
[1]祖丽胡玛尔·卡迪尔,李宁,冯新龙.粘性Burgers’方程的线性化Crank-Nicolson格式（英文）[J].新疆大学学报(自然科学版),2014,31(04):427-431. DOI：

祖丽胡玛尔·卡迪尔, 李宁, 冯新龙. 粘性Burgers’方程的线性化Crank-Nicolson格式（英文）[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(4): 427-431. DOI：

摘要

应用线性化的Crank-Nicolson格式数值求解二维粘性Burgers’方程.新格式不但具有二阶精度而且是无条件稳定的.最后数值实验表明新格式的高精度和有效性.

Abstract

A linearized Crank-Nicolson finite-difference method is presented to approximate numerically the solution of two-dimensional viscous Burgers' equation. The proposed scheme is unconditionally stable and second-order accurate in both space and time. Two test problems are considered to illustrate the high accuracy and efficiency of the proposed difference scheme.

关键词

Keywords

references

Bateman H.Some recent researches in motion of fluids[J].Mon Wea Rev,1915,43:163-170.

Wubs F W,Goede E D de.An explicit-implicit method for a class of time-dependent partial differential equations[J].Appl Numer Math,1992,9(2):157-181.

Tabatabaei A H A E,Shakour E,Dehghan M.Some implicit methods for the numerical solution of Burgers’equation[J].Appl Math Comput,2007,191(2):560-570.

Radwan S F.On the fourth-order accurate compact ADI scheme for solving the unsteady nonlinear coupled Burgers’equation[J].Journal of Nonlinear Mathematical Physics,1999,6(1):13-34.

Caldwell J,Wanless P,Cook A E.A finite element approach to Burgers’equation[J].Applied Mathematical Modelling,1981,5(3):189-193.

Hrymak A N,Mc Rae G J,Westerberg A W.An implementation of a moving finite element method[J].Journal of Computational Physics,1986,63(1):168-190.

Liao W Y.A fourth order finite-difference method for solving the system of two-dimensional Burgers’equations[J].International Journal for Numerical Methods in Fluids,2010,64(5):565-590.

Liu F,Shi W P.Numerical solutions of two-dimensional Burgers’equations by lattice Boltzmann method[J].Communications in Nonlinear Science and Numerical Simulation,2011,16(1):150-157.

Fletcher C A.Generating exact solutions of the two-dimensional Burgers’equations[J].International Journal for Numerical Methods in Fluids,1983,3(3):213-216.

Huang P Z,Abduwali A.The Modified local Crank-Nicolson method for one-and two-dimensional Burgers’equations[J].Appl Math Comput,2010,59(8):2452-2463.

Duan Y L,Liu R X.Lattice Boltzmann model for two-dimensional unsteady Burgers’equation[J].Appl Math Comput,2007,206(1):432-439.

Views

107

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

No data

Related Author

No data

Related Institution

No data

⁰