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Note on the eigensolution of a homogeneous equation with semi-infinite domainThe 'variation-iteration' method using Green's functions to find the eigenvalues and the corresponding eigenfunctions of a homogeneous Fredholm integral equation is employed for the stability analysis of fluid hydromechanics problems with a semiinfinite (infinite) domain of application. The objective of the study is to develop a suitable numerical approach to the solution of such equations in order to better understand the full set of equations for 'real-world' flow models. The study involves a search for a suitable value of the length of the domain which is a fair finite approximation to infinity, which makes the eigensolution an approximation dependent on the length of the interval chosen. In the examples investigated y = 1 = a seems to be the best approximation of infinity; for y greater than unity this method fails due to the polynomial nature of Green's functions.
Document ID
19800056338
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Wadia, A. R.
(Texas, University Arlington, Tex., United States)
Date Acquired
August 10, 2013
Publication Date
June 1, 1980
Publication Information
Publication: Journal of Computational and Applied Mathematics
Volume: 6
Subject Category
Numerical Analysis
Accession Number
80A40508
Funding Number(s)
CONTRACT_GRANT: NSG-2077
Distribution Limits
Public
Copyright
Other

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