On the Boundary Layer in Singularly Perturbed Problem with An Initial Jump

被引:0
作者
Zhumanazarova, Assiya [1 ]
Cho, Young Im [1 ]
机构
[1] Gachon Univ, Dept Comp Engn, Gyeonggi Do 461701, Seongnam, South Korea
来源
PROCEEDINGS OF THE 2021 INTERNATIONAL CONFERENCE ON ARTIFICIAL LIFE AND ROBOTICS (ICAROB 2021) | 2021年
基金
新加坡国家研究基金会;
关键词
boundary layer; singular perturbation; initial jump; exponential estimates;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this study, we consider the foundations of the boundary layer theory for studying the boundary layer part of the asymptotics of a singularly perturbed integro-differential boundary value problem with an initial jump. A part of the boundary layer is defined as an expansion in powers of a small parameter, and the coefficients of this expansion are solutions to differential initial value problems. The purpose of this study is to describe in detail the properties of the boundary layer part of the asymptotics based on the principles of boundary layer theory.
引用
收藏
页码:521 / 523
页数:3
相关论文
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[Anonymous], 2022, ASYMPTOTIC EXPANSION
[2]  
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[3]  
Kasymov K.A., 1997, Singularly perturbed boundary value problems with initial jumps
[4]  
Schlichting H., 2017, BOUNDARY LAYER THEOR
[5]  
Zhumanazarova A, 2020, MATH BASEL, V8, P1
[6]   Asymptotic Convergence of the Solution of a Singularly Perturbed Integro-Differential Boundary Value Problem [J].
Zhumanazarova, Assiya ;
Cho, Young Im .
MATHEMATICS, 2020, 8 (02)