[1]曹文平.高阶发展方程的两类显式格式的稳定性分析[J].华侨大学学报(自然科学版),1996,17(3):231-235.[doi:10.11830/ISSN.1000-5013.1996.03.0231]
　Zeng Wenping.Stability Analysis of Two Classes of Explicit DifferenceSchemes for High-Order Evolution Equations[J].Journal of Huaqiao University(Natural Science),1996,17(3):231-235.[doi:10.11830/ISSN.1000-5013.1996.03.0231]
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高阶发展方程的两类显式格式的稳定性分析()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第17卷
期数:
1996年第3期
页码:
231-235
栏目:
出版日期:
1996-07-20

文章信息/Info

Title:
Stability Analysis of Two Classes of Explicit DifferenceSchemes for High-Order Evolution Equations
作者:
曹文平
华侨大学管理信息科学系
Author(s):
Zeng Wenping
关键词:
高阶发展方程;  显式差分格式;  稳定性分析
Keywords:
evolution equation of high-order;  explicit difference scheme;  stability analysis
分类号:
O175
DOI:
10.11830/ISSN.1000-5013.1996.03.0231
摘要:
对高阶发展方程给出了两类带参数α的三层显式差分格式,其截断误差均为O(τ+h).稳定性分析指出:当k为偶数时,它们无条件不稳定; 当k为奇数时,稳定条件为|R|≤f(k,α)是α(0≤α≤10)的上升函数,但为k的下降函数.例如,当k=1时,f(1,3)=0.987123,f(1,10)=2.150690; 当k=3时,f(3,3)=0.109153,f(3,10)=0.319036; 当k≤9(奇数)时,它们较大地改进了同类格式的稳定性条件|R|≤1/22k.
Abstract:
Two classes of three-level explicit difference schemes with parameter a and the same truncation error O(r+h),are given here for the evolution equations of high-order As shown by stabilityanalysis, while k is an even number, they are unconditionally unstab

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备注/Memo

备注/Memo:
福建省自然科学基金
更新日期/Last Update: 2014-03-22