[1]杨和平.关于奇异摄动问题渐进解中的指数小项[J].深圳大学学报理工版,2004,21(4):356-358.
YANG He-ping.Exponentially small term in asymptotic solution of a singular perturbation problem[J].Journal of Shenzhen University Science and Engineering,2004,21(4):356-358.
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关于奇异摄动问题渐进解中的指数小项(
)
《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]
- 卷:
-
第21卷
- 期数:
-
2004年4期
- 页码:
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356-358
- 栏目:
-
数学与应用数学
- 出版日期:
-
2004-10-30
文章信息/Info
- Title:
-
Exponentially small term in asymptotic solution of a singular perturbation problem
- 文章编号:
-
1000-2618(2004)04-0356-03
- 作者:
-
杨和平
-
深圳大学师范学院,深圳 518060
- Author(s):
-
YANG He-ping
-
Normal College Shenzhen University,Shenzhen 518060, P. R. China
-
- 关键词:
-
奇异摄动; 边界层; 渐近解
- Keywords:
-
singular perturbation; boundary layer; asymptotic solution
- 分类号:
-
O 175.8
- 文献标志码:
-
A
- 摘要:
-
讨论了奇异摄动理论中的一类边值问题,利用Liouville-Green方法给出了该问题严格的渐近解.通过例子说明用传统匹配方法给出的渐近解并不正确。
- Abstract:
-
A typical singular perturbation problem was considered. By means of Liouville-Green transformation, an asymptotic solution for the problem was constructed rigorously. It was shown that the formal asymptotic solution obtained by matching method was incorrect for our given example.
更新日期/Last Update:
2015-11-06