[1]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):11-15.[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(1):11-15.[doi:10.3969/j.issn.1000-5013.2003.01.002]
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解四阶抛物型方程的高精度差分格式()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第24卷
期数:
2003年第1期
页码:
11-15
栏目:
出版日期:
2003-01-20

文章信息/Info

Title:
Difference Schemes of High Accuracy for SolvingParabolic Equation of Four Order
文章编号:
1000-5013(2003)01-0011-05
作者:
单双荣
华侨大学数学系 福建泉州362011
Author(s):
Shan Shuangrong
Dept. of Math., Huaqiao Univ., 362011, Quanzhou, China
关键词:
四阶抛物型方程;  差分格式;  绝对稳定
Keywords:
parabolic equation of four order;  difference scheme;  absolutely stable
分类号:
O241.82
DOI:
10.3969/j.issn.1000-5013.2003.01.002
文献标志码:
A
摘要:
对四阶抛物型方程构造了一族含参数高精度三层差分格式 .当参数满足一定的条件时,差分格式稳定,局部截断误差阶数最高可达 O(τ2 +h6) .最后,用数值例子说明对稳定性所作的分析是正确的 .
Abstract:
A family of highly accurate and three layer difference schemes containing parameter are constructed for solving parabolic equation of four order. In case the parameter satisfies definite conditions, these difference schemes are stable, with the maximum order of local truncation error up to O(τ 2+h 6) . The stability analysis is shown by numerical example to be correct.

参考文献/References:

[1] СаулъевК, 袁兆鼎. 抛物型方程的网格积分法 [M]. 北京:科学出版社, 1963.143-152.
[2] 林鹏程. 解四阶抛物型方程的绝对稳定高精度差分格式 [J]. 厦门大学学报(自然科学版), 1994(6):756-759.
[3] 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(4):334-340.
[4] 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(1):11-15.doi:10.3969/j.issn.1000-5013.2003.01.002.
[5] Richtmyer R D, Morton K W. Difference method for initial-value problems [M]. New York:wiley, 1967.59-91.

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更新日期/Last Update: 2014-03-23