[1]陈思雄,曾文平.对称蛙跳格式的稳定性分析[J].华侨大学学报(自然科学版),1995,16(1):6-12.[doi:10.11830/ISSN.1000-5013.1995.01.0006]
 Chen Sixiong,Zeng Wenping.Stability analysis of Leapfrog Type Symmetrical Difference Schemes[J].Journal of Huaqiao University(Natural Science),1995,16(1):6-12.[doi:10.11830/ISSN.1000-5013.1995.01.0006]
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对称蛙跳格式的稳定性分析()
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《华侨大学学报(自然科学版)》[ISSN:1000-5013/CN:35-1079/N]

卷:
第16卷
期数:
1995年第1期
页码:
6-12
栏目:
出版日期:
1995-01-20

文章信息/Info

Title:
Stability analysis of Leapfrog Type Symmetrical Difference Schemes
作者:
陈思雄曾文平
华侨大学管理信息科学系
Author(s):
Chen Sixiong Zeng Wenping
关键词:
蛙跳型对称显式差分格式 稳定性分析 色散方程
Keywords:
leapfrog type symmetrical explicit difference scheme stability analysis dispersion equation
分类号:
O241.82
DOI:
10.11830/ISSN.1000-5013.1995.01.0006
摘要:
利用待定系数法,建立了解色散方程ut=auxxx的若干蛙跳型对称差分格式.其中稳定性最好的格式稳定性条件是|R|≤3.2470.此外,得到一个高精度蛙跳型对称显格式的截断误差为O(τ2+h6),但其稳定性条件仅为|R|≤0.16208.
Abstract:
For solving dispersion equation ut=a. uxxx, several leapfrog type symmetrical difference schemes are established by the method of undetermined coefficients. Among them, the scheme(22a) serves as the most stable scheme with the stability condition of |R|≤3

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备注/Memo

备注/Memo:
国家教委留学生基金
更新日期/Last Update: 2014-03-22