[1]曾文平.解四阶抛物型方程高精度恒稳的隐式格式[J].华侨大学学报(自然科学版),1996,17(4):331-335.[doi:10.11830/ISSN.1000-5013.1996.04.0331]
 Zeng Wenping.A Class of High Accurate and Absolutely Stable Implicit Difference Schemes for Solving Four Order Parabolic Equations[J].Journal of Huaqiao University(Natural Science),1996,17(4):331-335.[doi:10.11830/ISSN.1000-5013.1996.04.0331]
点击复制

解四阶抛物型方程高精度恒稳的隐式格式()
分享到:

《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4期
页码:
331-335
栏目:
出版日期:
1996-10-20

文章信息/Info

Title:
A Class of High Accurate and Absolutely Stable Implicit Difference Schemes for Solving Four Order Parabolic Equations
作者:
曾文平
华侨大学管理信息科学系
Author(s):
Zeng Wenping
关键词:
四阶抛物型方程 绝对稳定 高精度 隐式差分格式
Keywords:
four order parabolic equation absolutely stable high accurate implicit difference scheme
分类号:
O241
DOI:
10.11830/ISSN.1000-5013.1996.04.0331
摘要:
对四阶抛物型方程ut+uxxxx=0构造了一类三层隐式差分格式,它们含有非负参数α1,α2和α3,其局部截断误差至少是O(Δt2+Δt6).在条件α1≥α3≥0,0≤α2≤及α1+α2+α3=1之下,该格式绝对稳定且可用追赶法求解.
Abstract:
A class of three layered implicit difference schemes are constructed for solving four order parabolic equations Ut+uxxxx=0.They contain nonnegative parameters a1,a2 and a3,with local trunCation errors of at least. Under the conditions of a1+a2+a3=1,a1≥a3≥

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]苏远生.色散方程ut=auxxx的两个半显式绝对稳定差分格式[J].华侨大学学报(自然科学版),1989,10(2):110.[doi:10.11830/ISSN.1000-5013.1989.02.0110]
 Su Yuansheng.Two Absolutely Stable Semi-Explict Difference Schemes for Dispersion Equation ut=auxxx[J].Journal of Huaqiao University(Natural Science),1989,10(4):110.[doi:10.11830/ISSN.1000-5013.1989.02.0110]
[3]曾文平.两类含参数高精度恒稳的半显式差分格式[J].华侨大学学报(自然科学版),1993,14(2):133.[doi:10.11830/ISSN.1000-5013.1993.02.0133]
 Zeng Wenping.Two Classes of Absolutely Stable and High Accuracy Difference Schemes Depending on a Parameter[J].Journal of Huaqiao University(Natural Science),1993,14(4):133.[doi:10.11830/ISSN.1000-5013.1993.02.0133]
[4]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.[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(4):257.[doi:10.11830/ISSN.1000-5013.1994.03.0257]
[5]曾文平.解四阶抛物型方程的高精度显式差分格式[J].华侨大学学报(自然科学版),1997,18(2):122.[doi:10.11830/ISSN.1000-5013.1997.02.0122]
 Zeng Wenping.Explicit Difference Scheme of High Accuracy for Solving Four Order Parabolic Equation[J].Journal of Huaqiao University(Natural Science),1997,18(4):122.[doi:10.11830/ISSN.1000-5013.1997.02.0122]
[6]曾文平.对流方程的一类新的恒稳差分格式[J].华侨大学学报(自然科学版),1997,18(3):225.[doi:10.11830/ISSN.1000-5013.1997.03.0225]
 Zeng Wenping.A Class of New Steady Difference Schemes for Convective Equation[J].Journal of Huaqiao University(Natural Science),1997,18(4):225.[doi:10.11830/ISSN.1000-5013.1997.03.0225]
[7]曾文平.四阶抛物型方程两类新的恒稳差分格式[J].华侨大学学报(自然科学版),1997,18(4):334.[doi:10.11830/ISSN.1000-5013.1997.04.0334]
[8]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.[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(4):124.[doi:10.11830/ISSN.1000-5013.1998.02.0124]
[9]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.[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(4):18.[doi:10.11830/ISSN.1000-5013.1999.01.0018]
[10]黄浪扬,曾文平.抛物型方程的一族高精度恒稳格式[J].华侨大学学报(自然科学版),2000,21(2):124.[doi:10.3969/j.issn.1000-5013.2000.02.004]
 Huang langyang,Zeng Wenping.A Group of Steady Difference Schemes wth High Accuracy for Solving Parabolic Equation[J].Journal of Huaqiao University(Natural Science),2000,21(4):124.[doi:10.3969/j.issn.1000-5013.2000.02.004]
[11]单双荣.解四阶抛物型方程的高精度差分格式[J].华侨大学学报(自然科学版),2003,24(1):11.[doi:10.3969/j.issn.1000-5013.2003.01.002]
 Shan Shuangrong.Difference Schemes of High Accuracy for SolvingParabolic Equation of Four Order[J].Journal of Huaqiao University(Natural Science),2003,24(4):11.[doi:10.3969/j.issn.1000-5013.2003.01.002]
[12]曾文平.四阶抛物型方程的一族高精度恒稳的差分格式[J].华侨大学学报(自然科学版),2003,24(3):245.[doi:10.3969/j.issn.1000-5013.2003.03.004]
 Zeng Wenping.A Family of Highly Accurate and Absolutely Stable Difference Schemes for Solving Parabolic Equation of Four Order[J].Journal of Huaqiao University(Natural Science),2003,24(4):245.[doi:10.3969/j.issn.1000-5013.2003.03.004]
[13]单双荣.解四阶抛物型方程的高精度差分格式[J].华侨大学学报(自然科学版),2005,26(1):19.[doi:10.3969/j.issn.1000-5013.2005.01.005]
 Shan Shuangrong.Difference Schemes of High Accuracy for SolvingParabolic Equation of Four Order[J].Journal of Huaqiao University(Natural Science),2005,26(4):19.[doi:10.3969/j.issn.1000-5013.2005.01.005]

备注/Memo

备注/Memo:
国务院侨办与福建省自然科学基金资助
更新日期/Last Update: 2014-03-22