A CLASS OF HIGHER ORDER TURNING POINT NONLINEAR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM

被引：0

作者：

Wang, Xinyu ^{[1
]}

Wang, Na ^{[1
]}

机构：

[1] Shanghai Inst Technol, Dept Appl Math, Shanghai 201418, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2025年 / 15卷 / 02期

关键词：

Singular perturbation; turning points; matching principle; special function; EQUATION;

D O I：

10.11948/20240002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

When a boundary layer occurs close to a turning point in a class of singularly perturbation problems with turning points, the solution manifests as a multi-layer phenomena. This paper provides a systematic solution. It focuses on a class of turning point problems and the aspects include constructing formal asymptotic solutions. It also involves establishing the existence and error estimation of the solutions, the relationship with the position of the intermediate layer and boundary layer. In addition, the numerical verification is conducted as well.

引用

页码：657 / 690

页数：34

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