求解Burgers方程的两层隐式紧致差分格式

• 作者: 杨晓佳 葛永斌 魏剑英
• 来源期刊: 高等学校计算数学学报
• 学科: 数学
• 年，卷（期）: 2017,（4）
• 页码范围: 340-354
• 页数: 15页
• 分类号: O241.82
• 语种: 中文

摘要

Based on the fourth-order compact difference scheme of the spatial derivative and the error remainder correction method of the temporal derivative,a new two-level implicit compact finite difference scheme is proposed for solving the one-and two-dimensional Burgers equation.The local truncation error of the scheme is O(T2 + Th2 + h4),i.e.,the scheme is the fourth order accuracy in the space when T ＝ O(h2) and is second order accuracy in the time.Then,numerical experiments are conducted to verify the accuracy and the reliability of the present scheme.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	葛永斌		76	482	10.0	17.0
2	魏剑英		12	47	4.0	6.0
3	杨晓佳		6	14	3.0	3.0