[1]曾文平.高阶抛物型方程恒稳的显式差分格式[J].华侨大学学报(自然科学版),1998,19(2):124-127.[doi:10.11830/ISSN.1000-5013.1998.02.0124]
 Zeng Wenping.Absolutely Stable Explicit Difference Scheme for Sloving Parabolic Equation of Higher Order[J].Journal of Huaqiao University(Natural Science),1998,19(2):124-127.[doi:10.11830/ISSN.1000-5013.1998.02.0124]
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高阶抛物型方程恒稳的显式差分格式()
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《华侨大学学报(自然科学版)》[ISSN:1000-5013/CN:35-1079/N]

卷:
第19卷
期数:
1998年第2期
页码:
124-127
栏目:
出版日期:
1998-04-20

文章信息/Info

Title:
Absolutely Stable Explicit Difference Scheme for Sloving Parabolic Equation of Higher Order
作者:
曾文平
华侨大学管理信息科学系
Author(s):
Zeng Wenping
关键词:
高阶抛物型方程 显式差分格式 绝对稳定
Keywords:
parabolic eqution of higher order explicit difference scheme absolutely stable
分类号:
O241.82
DOI:
10.11830/ISSN.1000-5013.1998.02.0124
摘要:
提出解高阶抛物型方程u/t=(-1)m+12mu/x2m的一类恒稳定的三层显式差分格式,大大地改进了抛物型方程的网格积分法中格式的稳定性条件.数值例子表明所作的稳定性分析是正确的.
Abstract:
A class of absolutely stable three layer explicit difference schemes are presented for solving parabolic equations of higher order  u  t=(-1) m+1  2m u  x 2m . The stability condition of the scheme in reference (1) is thus greatly improved. The correc

相似文献/References:

[1]曾文平.解多维抛物型方程的两个显式格式[J].华侨大学学报(自然科学版),1983,4(2):1.[doi:10.11830/ISSN.1000-5013.1983.02.0001]
[2]曾文平.解三维抛物型方程的高精度显式格式[J].华侨大学学报(自然科学版),1995,16(2):128.[doi:10.11830/ISSN.1000-5013.1995.02.0128]
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[3]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.[doi:10.11830/ISSN.1000-5013.1996.03.0231]
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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