Asymptotic solution of some singularly perturbed Fredholm integral equations

W Edward Olmstead; A. K. Gautesen

doi:10.1007/BF00945000

Asymptotic solution of some singularly perturbed Fredholm integral equations

W Edward Olmstead^*, A. K. Gautesen

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

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

16 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 1 1989

ASJC Scopus subject areas

Mathematics(all)
Physics and Astronomy(all)
Applied Mathematics

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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.",

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year = "1989",

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Asymptotic solution of some singularly perturbed Fredholm integral equations

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