Asymptotic Solution for Model with Small Parameter

被引：0
|
作者：
Cai, Xin [1 ]
机构：
[1] Zhejiang Univ Sci & Technol, Sch Sci, Hangzhou 310023, Zhejiang, Peoples R China
来源：
2009 SECOND INTERNATIONAL SYMPOSIUM ON KNOWLEDGE ACQUISITION AND MODELING: KAM 2009, VOL 1 | 2009年
关键词：
small parameter; asymptotic solution; ordinary differential equation; Gronwall inequality;
D O I：
10.1109/KAM.2009.76
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Model with small parameter is considered. Such problem undergo rapid changes within the boundary layer since the presence of the small parameter. Firstly, the analytical result of the problem is studied. The bound of the analytical solution is presented by Gronwall inequality. Secondly, the analytical solution is decomposed into the computational component and the small component. It is proved to be uniformly bound with respect to the small parameter in order one for the small component. Finally, numerical experiment is given to support the theoretical result.
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页码：168 / 171
页数：4
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