DocumentCode
2343980
Title
A parallel numerical algorithm for two point boundary value FIDEs using a projection method
Author
Garey, L.E.
Author_Institution
Univ. of New Brunswick, Saint John, NB, Canada
fYear
2002
fDate
2002
Firstpage
254
Lastpage
261
Abstract
In this paper, we develop a parallel algorithm for processing a nonlinear system which represents the discrete solution of a Fredholm integro-differential equation with two-point boundary conditions. The matrix on the left hand side of the system is a five-band near symmetric and Toeplitz system. With appropriate perturbations, it can be factored and solved by parallel implementation of the conjugate gradient method. Two numerical examples illustrate the results.
Keywords
Fredholm integral equations; Toeplitz matrices; boundary-value problems; conjugate gradient methods; integro-differential equations; mathematics computing; parallel algorithms; conjugate gradient method; five-band near symmetric Toeplitz matrices; nonlinear system; parallel numerical algorithm; perturbations; projection method; two point boundary value Fredholm integro-differential equation; two-point boundary conditions; Character generation; Conferences; Parallel processing;
fLanguage
English
Publisher
ieee
Conference_Titel
Parallel Processing Workshops, 2002. Proceedings. International Conference on
ISSN
1530-2016
Print_ISBN
0-7695-1680-7
Type
conf
DOI
10.1109/ICPPW.2002.1039738
Filename
1039738
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