[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()
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《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:
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