[1]曾文平.具耗散项二阶双曲型方程分组显式方法[J].华侨大学学报(自然科学版),2001,22(3):237-241.[doi:10.3969/j.issn.1000-5013.2001.03.004]
　Zeng Wenping.Grouping Explicit Method for Solving Second -Order Hyperbolic Equation with Term of Dissipation[J].Journal of Huaqiao University(Natural Science),2001,22(3):237-241.[doi:10.3969/j.issn.1000-5013.2001.03.004]
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具耗散项二阶双曲型方程分组显式方法()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第22卷
期数:
2001年第3期
页码:
237-241
栏目:
出版日期:
2001-07-20

文章信息/Info

Title:
Grouping Explicit Method for Solving Second -Order Hyperbolic Equation with Term of Dissipation
文章编号:
1000-5013(2001)03-0237-05
作者:
曾文平
华侨大学经济管理学院, 泉州362011
Author(s):
Zeng Wenping
College of Econ. Manag., Huaqiao Univ., 362011, Quanzhou
关键词:
二阶双曲型方程;  耗散项;  分组显式方法;  稳定性
Keywords:
second order hyperbolic equation;  term of dissipation;  grouping explicit method;  stability
分类号:
O241.82
DOI:
10.3969/j.issn.1000-5013.2001.03.004
摘要:
首先把具耗散项的二阶双曲型方程分解为两个一阶方程,然后利用不对称公式提出解此类二阶双曲型方程的分组显式方法 .进而,证明交替分组显式方法是无条件稳定的 .数值试验表明,这些新方法是令人满意的
Abstract:
A second order hyperbolic equation with term of dissipation is decomposed into two first order equations as the first step. For solving this kind of second order hyperbolic equations, the grouping explicit method is presented by applying asymmetric formula. And then, the alternatively grouping explicit method is proved to be unconditionally stable. As shown by numerical experiment, these new methods are satisfactory.

参考文献/References:

[1] СаульевВК, 袁兆鼎. 抛物型方程的网格积分法 [M]. 北京:科学出版社, 1961.221-284.
[2] EVANS D J, Abdullah A R B. Group explicit method for parabolic equation [J]. International Journal of Computer Mathematics, 1983.73-105.
[3] Abdullah A R B, Evans D J. A new strategy for solving second-order hyperbolic equations using asymmetric formulac [J]. Computers & Mathematics with Applications, 1987(9):831-838.
[4] 张宝琳, 袁国兴, 刘兴平. 偏微分方程并行有限差分方法 [M]. 北京:科学出版社, 1994.85-222.

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更新日期/Last Update: 2014-03-23