[1]曾文平.两类新的高稳定性的三层显式差分格式[J].华侨大学学报(自然科学版),1998,19(3):225-231.[doi:10.11830/ISSN.1000-5013.1998.03.0225]
　Zeng Wenping.Two New Classes of Three-Level Explicit Difference Schemes with Higher Stability[J].Journal of Huaqiao University(Natural Science),1998,19(3):225-231.[doi:10.11830/ISSN.1000-5013.1998.03.0225]
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两类新的高稳定性的三层显式差分格式()
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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3期
页码:
225-231
栏目:
出版日期:
1998-07-20

文章信息/Info

Title:
Two New Classes of Three-Level Explicit Difference Schemes with Higher Stability
作者:
曾文平
华侨大学管理信息科学系
Author(s):
Zeng Wenping
关键词:
高阶发展方程;  显式差分格式;  稳定性分析
Keywords:
higher-order evolution equation;  explicit difference schemes;  stability analysis
分类号:
O241.82
DOI:
10.11830/ISSN.1000-5013.1998.03.0225
摘要:
提出解高阶发展方程u/t=a(2k+1u/t2k+1)(其中a≠0为常数,k=1,2,3,…)的两类新的具有高稳定性的三层显式差分格式,较大地改进了同类格式的稳定性条件.数值例子表明所作的稳定性分析是正确的.
Abstract:
Two new classes of three level explicit difference schemes with higher stability are presented for solving higher order evolution equation u/t=a 2k+1u/x 2k+1,where a≠0 is a constant,k=1,2,3,…. By which the stability condition of simila

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[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]
　Zeng Wenping.High Accuracy Explicit Difference Schemes for Solving Three-Dimensional Equation of the Parabola[J].Journal of Huaqiao University(Natural Science),1995,16(3):128.[doi:10.11830/ISSN.1000-5013.1995.02.0128]
[3]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]
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[4]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]
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[5]曾文平,郑邵鹏.两类新的高稳定性的三层显式差分格式[J].华侨大学学报(自然科学版),1999,20(4):339.[doi:10.11830/ISSN.1000-5013.1999.04.0339]
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[8]张星,单双荣.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),2010,31(6):703.[doi:10.11830/ISSN.1000-5013.2010.06.0703]
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[9]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