[1]曾文平.解二维抛物型方程的恒稳高精度格式[J].华侨大学学报(自然科学版),1999,20(1):18-24.[doi:10.11830/ISSN.1000-5013.1999.01.0018]
　Zeng Wenping.A Family of Steady and High Accurate Difference Schemes for Solving Two Dimensional Equations of Parabolic Type[J].Journal of Huaqiao University(Natural Science),1999,20(1):18-24.[doi:10.11830/ISSN.1000-5013.1999.01.0018]
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解二维抛物型方程的恒稳高精度格式()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第20卷
期数:
1999年第1期
页码:
18-24
栏目:
出版日期:
1999-01-20

文章信息/Info

Title:
A Family of Steady and High Accurate Difference Schemes for Solving Two Dimensional Equations of Parabolic Type
作者:
曾文平
华侨大学管理信息科学系
Author(s):
Zeng Wenping
关键词:
二维抛物型方程;  差分格式;  高精度;  绝对稳定
Keywords:
two dimensional equations of parabolic type;  difference scheme;  high accuracy;  absolutely stable
分类号:
O175.26
DOI:
10.11830/ISSN.1000-5013.1999.01.0018
摘要:
建立了解二维抛物型方程的一族含参数的绝对稳定的高精度的差分格式,进而,在特殊情况(θ=0,r=16)下,得到显式差分格式ωn+1=(1+136+19◇)ωn.这些格式对任意选取的参数θ≤1/6都是绝对稳定的,且当0≤θ≤min(16,12-112r)时,其收敛阶为O((Δt)2)
Abstract:
A family of absolutely stable and high accurate difference schemes containing parameter are set up for solv ing two dimensional equations of parabolic type. And then, an explicit difference scheme (17) is obtained under the special condition of θ =0, r =1

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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