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

School of Mathematical Sciences

Huaiyin Normal University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	655-666
Number of pages	12
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	35
Issue number	5
DOIs	https://doi.org/10.1007/s10483-014-1819-7
State	Published - May 2014

Keywords

asymptotic expansion
boundary function
contrast structure
singular singularly perturbation

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10.1007/s10483-014-1819-7

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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\}",

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AU - Wang, Ai Feng

AU - Ni, Ming Kang

PY - 2014/5

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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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Keywords

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