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

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粘性Burgers’方程的线性化Crank-Nicolson格式（英文）

数理科学 | 更新时间：2026-01-21

- 粘性Burgers’方程的线性化Crank-Nicolson格式（英文）
- 粘性Burgers’方程的线性化Crank-Nicolson格式（英文）
- 新疆大学学报（自然科学版中英文） 2014年31卷第4期页码：427-431
- 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：
  
  supported by the NSF of China(61163027)
- DOI：
  中图分类号： O241.82
- 纸质出版：2014
- 稿件说明：
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[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.

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references

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