Contrast structure for singular singularly perturbed boundary value problem

Ai Feng Wang; Ming Kang Ni

doi:10.1007/s10483-014-1819-7

Contrast structure for singular singularly perturbed boundary value problem

Ai Feng Wang^*
, Ming Kang Ni

^*此作品的通讯作者

数学科学学院

Huaiyin Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

The step-type contrast structure for a singular singularly perturbed problem is shown. By use of the method of boundary function, the formal asymptotic expansion is constructed. At the same time, based on sewing orbit smooth, the existence of the step-type solution and the uniform validity of the asymptotic expansion are proved. Finally, an example is given to demonstrate the effectiveness of the present results.

源语言	英语
页（从-至）	655-666
页数	12
期刊	Applied Mathematics and Mechanics (English Edition)
卷	35
期	5
DOI	https://doi.org/10.1007/s10483-014-1819-7
出版状态	已出版 - 5月 2014

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10.1007/s10483-014-1819-7

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@article{bd66e6391ad84bf6a1269721fb9af62f,

title = "Contrast structure for singular singularly perturbed boundary value problem",

abstract = "The step-type contrast structure for a singular singularly perturbed problem is shown. By use of the method of boundary function, the formal asymptotic expansion is constructed. At the same time, based on sewing orbit smooth, the existence of the step-type solution and the uniform validity of the asymptotic expansion are proved. Finally, an example is given to demonstrate the effectiveness of the present results.",

keywords = "asymptotic expansion, boundary function, contrast structure, singular singularly perturbation",

author = "Wang, \{Ai Feng\} and Ni, \{Ming Kang\}",

year = "2014",

month = may,

doi = "10.1007/s10483-014-1819-7",

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TY - JOUR

T1 - Contrast structure for singular singularly perturbed boundary value problem

AU - Wang, Ai Feng

AU - Ni, Ming Kang

PY - 2014/5

Y1 - 2014/5

N2 - The step-type contrast structure for a singular singularly perturbed problem is shown. By use of the method of boundary function, the formal asymptotic expansion is constructed. At the same time, based on sewing orbit smooth, the existence of the step-type solution and the uniform validity of the asymptotic expansion are proved. Finally, an example is given to demonstrate the effectiveness of the present results.

AB - The step-type contrast structure for a singular singularly perturbed problem is shown. By use of the method of boundary function, the formal asymptotic expansion is constructed. At the same time, based on sewing orbit smooth, the existence of the step-type solution and the uniform validity of the asymptotic expansion are proved. Finally, an example is given to demonstrate the effectiveness of the present results.

KW - asymptotic expansion

KW - boundary function

KW - contrast structure

KW - singular singularly perturbation

UR - https://www.scopus.com/pages/publications/84903318140

U2 - 10.1007/s10483-014-1819-7

DO - 10.1007/s10483-014-1819-7

M3 - 文章

AN - SCOPUS:84903318140

SN - 0253-4827

VL - 35

SP - 655

EP - 666

JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 5

ER -

Contrast structure for singular singularly perturbed boundary value problem

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