[1]曾文平.四阶杆振动方程的含参数四层显式格式[J].华侨大学学报(自然科学版),2002,23(2):116-121.[doi:10.3969/j.issn.1000-5013.2002.02.002]
　Zeng Wenping.Four-Level Explicit Difference Schemes Containing Parameters for Solving Equation of Four Order Rod Vibration[J].Journal of Huaqiao University(Natural Science),2002,23(2):116-121.[doi:10.3969/j.issn.1000-5013.2002.02.002]
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四阶杆振动方程的含参数四层显式格式()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第23卷
期数:
2002年第2期
页码:
116-121
栏目:
出版日期:
2002-04-20

文章信息/Info

Title:
Four-Level Explicit Difference Schemes Containing Parameters for Solving Equation of Four Order Rod Vibration
文章编号:
1000-5013(2002)02-0116-06
作者:
曾文平
华侨大学数学系 泉州362011
Author(s):
Zeng Wenping
Dept. of Math., Huaqiao Univ., 362011, Quanzhou
关键词:
四阶杆振动方程;  显式差分格式;  稳定性
Keywords:
equation of four order rod vibration;  explicit difference scheme;  stability
分类号:
O241.82
DOI:
10.3969/j.issn.1000-5013.2002.02.002
文献标志码:
A
摘要:
提出一类解四阶杆振动方程的含参数四层显式差分格式,其局部截断误差阶为 O(τ+ h2 ) .而在特殊情况下,它是一个单参数四层或三层显式差分格式,其局部截断误差阶为 O(τ2 + h2 ) .同时,讨论了它们的稳定性 .最后的数值例子,表明这些格式是有效的
Abstract:
For solving equation of four order rod vibration,the author advances a class of four level explicit difference schemes containing parameters, of which the order of local truncation error is O(τ 2+h 2) . Under special condition, it is a four level or three level explicit difference scheme containing single parameter, of which the order of local truncation error is O(τ 2+h 2) . The stability of them is discussed simultaneously. numerical examples indicate that these difference schemes are effective.

参考文献/References:

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更新日期/Last Update: 2014-03-23