Title :
A parallel numerical algorithm for two point boundary value FIDEs using a projection method
Author_Institution :
Univ. of New Brunswick, Saint John, NB, Canada
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;
Conference_Titel :
Parallel Processing Workshops, 2002. Proceedings. International Conference on
Print_ISBN :
0-7695-1680-7
DOI :
10.1109/ICPPW.2002.1039738
