[1]曾文平.对流方程一族新的三层双参数高精度格式[J].华侨大学学报(自然科学版),2003,24(1):22-26.[doi:10.3969/j.issn.1000-5013.2003.01.004]
　Zeng Wenping.A New Family of Three-Layer and Bi-Parametric Difference Schemes with High Accuracy for Solving Convection Equation[J].Journal of Huaqiao University(Natural Science),2003,24(1):22-26.[doi:10.3969/j.issn.1000-5013.2003.01.004]
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对流方程一族新的三层双参数高精度格式()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第24卷
期数:
2003年第1期
页码:
22-26
栏目:
出版日期:
2003-01-20

文章信息/Info

Title:
A New Family of Three-Layer and Bi-Parametric Difference Schemes with High Accuracy for Solving Convection Equation
文章编号:
1000-5013(2003)01-0022-05
作者:
曾文平
华侨大学数学系 福建泉州362011
Author(s):
Zeng Wenping
Dept. of Math., Huaqiao Univ., 362011, Quanzhou, China
关键词:
对流方程;  高精度;  绝对稳定;  差分格式
Keywords:
convection equation;  high accuracy;  absolutely stable;  difference scheme
分类号:
O241.82
DOI:
10.3969/j.issn.1000-5013.2003.01.004
文献标志码:
A
摘要:
对对流方程 ut=aux(其中 a为常数 ),构造一族新的含双参数高精度的三层差分格式 .当参数α=12,β=0时,得到一个双层格式 .这些格式对任意选取的非负参数都是绝对稳定的,其局部截断误差阶为 O((Δt) 2 +(Δt) 2 (Δx) 2 +(Δx) 6) .数值试验表明,所建立的差分格式是有效的,理论分析是正确的 .
Abstract:
For solving convection equation u t=au x, where a is a constant, a new family of three-layer and biparametric difference schemes with high accuracy are constructed; and a double layer scheme will be obtained in case α =12 and β =0. All these schemes are absolutely stable for non negative parameters chosen arbitrarily with the local truncation error of O((Δ t ) 2+(Δt) 2(Δ x ) 2+(Δ x ) 6). As indicated by numerical experimentation, the difference schemes so established are effective and the theoretical analysis of them is correct.

参考文献/References:

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[3] 陈材侃. 计算流体力学 [M]. 重庆:重庆出版社, 1992.1-62.
[4] 曾文平. 对流方程的一类新的恒稳差分格式 [J]. 华侨大学学报(自然科学版), 1997(3):225-230.
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备注/Memo

备注/Memo:
华侨大学科研基金资助项目(01HZR04)
更新日期/Last Update: 2014-03-23