[1]曾文平.一族绝对稳定的高精度差分格式[J].华侨大学学报(自然科学版),1994,15(3):257-262.[doi:10.11830/ISSN.1000-5013.1994.03.0257]
　Zeng Wenping.A Family of Absolutely Stable and High Accurate Difference Schemes[J].Journal of Huaqiao University(Natural Science),1994,15(3):257-262.[doi:10.11830/ISSN.1000-5013.1994.03.0257]
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一族绝对稳定的高精度差分格式()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第15卷
期数:
1994年第3期
页码:
257-262
栏目:
出版日期:
1994-07-20

文章信息/Info

Title:
A Family of Absolutely Stable and High Accurate Difference Schemes
作者:
曾文平
华侨大学管理信息科学系
Author(s):
Zeng Wenping
关键词:
差分格式;  抛物型方程;  三维;  高准确度;  绝对稳定
Keywords:
difference schemes;  parabolic equations;  three-dimension;  high accuracy;  absolutely stable
分类号:
O241.8
DOI:
10.11830/ISSN.1000-5013.1994.03.0257
摘要:
建立了解三维抛物型方程的一族含参数的绝对稳定的高精度差分格式.李荣华等的结果可以看作两层差分格式的特例.进而,在特殊情况(θ=0,r=1/6)下,我们得到显式差分格式.我们证明了这些格式对任意选取的参数θ≤1/3都是绝对稳定的且其截断误差阶为0(Δt)2+Δt(Δx)2+(Δx)4)=0((Δt)2).
Abstract:
For solving three-dimensional parabolic equation, the author establishes a family of absolutely stable and high accurate difference schemes with a parameter.The results of reference may be regarded as special cases of two-level difference scheme. Moreover

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更新日期/Last Update: 2014-03-22