eprintid: 4983
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/00/49/83
datestamp: 2023-11-09 16:16:41
lastmod: 2023-11-09 16:16:41
status_changed: 2023-11-09 16:00:07
type: article
metadata_visibility: show
creators_name: Aruchunan, E.
creators_name: Muthuvalu, M.S.
creators_name: Sulaiman, J.
creators_name: Koh, W.S.
creators_name: Akhir, K.M.
title: An iterative solution for second order linear Fredholm integro-differential equations
ispublished: pub
note: cited By 8
abstract: The objective of this paper is to analyze the application of the quarter-sweep iterative concept on Quadrature-Difference schemes namely central difference (CD)-composite trapezoidal (CT) with the Gauss-Seidel iterative method to solve second order linear Fredholm integro-differential equations. The formulation and implementation of the Full-, Half- and Quarter-Sweep Gauss-Seidel methods namely FSGS, HSGS and QSGS are presented for performance comparison. Furthermore, computational complexity and percentage reduction calculations are also presented with several numerical simulations. The numerical results show that the proposed QSGS method with the corresponding discretization schemes is superior compared to the FSGS and HSGS methods.
date: 2014
publisher: Universiti Putra Malaysia
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84906275982&partnerID=40&md5=9cd138382163651e5f01e5d6c7e476d2
full_text_status: none
publication: Malaysian Journal of Mathematical Sciences
volume: 8
number: 2
pagerange: 157-170
refereed: TRUE
issn: 18238343
citation:   Aruchunan, E. and Muthuvalu, M.S. and Sulaiman, J. and Koh, W.S. and Akhir, K.M.  (2014) An iterative solution for second order linear Fredholm integro-differential equations.  Malaysian Journal of Mathematical Sciences, 8 (2).  pp. 157-170.  ISSN 18238343