Asymptotic solution of some singularly perturbed Fredholm integral equations

W. E. Olmstead; A. K. Gautesen

doi:10.1007/BF00945000

Asymptotic solution of some singularly perturbed Fredholm integral equations

W. E. Olmstead^*, A. K. Gautesen

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

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

17 Scopus citations

Abstract

A formal approach is described for obtaining the asymptotic solution to a class of singularly perturbed Fredholm integral equations. The approach is illustrated through application to some example problems which arise in heat transfer, diffraction theory, crack mechanics, Markov processes and low order eigenvalue problems.

Original language	English (US)
Pages (from-to)	230-244
Number of pages	15
Journal	ZAMP Zeitschrift für angewandte Mathematik und Physik
Volume	40
Issue number	2
DOIs	https://doi.org/10.1007/BF00945000
State	Published - Mar 1989

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy
Applied Mathematics

Access to Document

10.1007/BF00945000

Cite this

@article{aa78f4664fac417c8a997e2c740ad0a4,

title = "Asymptotic solution of some singularly perturbed Fredholm integral equations",

abstract = "A formal approach is described for obtaining the asymptotic solution to a class of singularly perturbed Fredholm integral equations. The approach is illustrated through application to some example problems which arise in heat transfer, diffraction theory, crack mechanics, Markov processes and low order eigenvalue problems.",

author = "Olmstead, {W. E.} and Gautesen, {A. K.}",

year = "1989",

month = mar,

doi = "10.1007/BF00945000",

language = "English (US)",

volume = "40",

pages = "230--244",

journal = "ZAMP Zeitschrift f{\"u}r angewandte Mathematik und Physik",

issn = "0044-2275",

publisher = "Birkhauser Verlag Basel",

number = "2",

}

TY - JOUR

T1 - Asymptotic solution of some singularly perturbed Fredholm integral equations

AU - Olmstead, W. E.

AU - Gautesen, A. K.

PY - 1989/3

Y1 - 1989/3

N2 - A formal approach is described for obtaining the asymptotic solution to a class of singularly perturbed Fredholm integral equations. The approach is illustrated through application to some example problems which arise in heat transfer, diffraction theory, crack mechanics, Markov processes and low order eigenvalue problems.

AB - A formal approach is described for obtaining the asymptotic solution to a class of singularly perturbed Fredholm integral equations. The approach is illustrated through application to some example problems which arise in heat transfer, diffraction theory, crack mechanics, Markov processes and low order eigenvalue problems.

UR - http://www.scopus.com/inward/record.url?scp=0003811893&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0003811893&partnerID=8YFLogxK

U2 - 10.1007/BF00945000

DO - 10.1007/BF00945000

M3 - Article

AN - SCOPUS:0003811893

SN - 0044-2275

VL - 40

SP - 230

EP - 244

JO - ZAMP Zeitschrift für angewandte Mathematik und Physik

JF - ZAMP Zeitschrift für angewandte Mathematik und Physik

IS - 2

ER -

Asymptotic solution of some singularly perturbed Fredholm integral equations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this