relation: https://khub.utp.edu.my/scholars/3637/
title: Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations
creator: Aruchunan, E.
creator: Muthuvalu, M.S.
creator: Sulaiman, J.
description: The main core of this paper is to analyze the application of the quarter-sweep iterative concept on finite difference and composite trapezoidal schemes with Gauss-Seidel iterative method to solve first 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 respectively are also presented for performance comparison. Furthermore, computational complexity and percentage reduction analysis are also included and integrated with several numerical simulations. Based on numerical results, findings show the proposed QSGS method with the corresponding discretization schemes is superior compared to FSGS and HSGS iterative methods. © 2013 AIP Publishing LLC.
date: 2013
type: Conference or Workshop Item
type: PeerReviewed
identifier:   Aruchunan, E. and Muthuvalu, M.S. and Sulaiman, J.  (2013) Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations.  In: UNSPECIFIED.     
relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84876908719&doi=10.1063%2f1.4801120&partnerID=40&md5=8c1f503fee567d26b03f45626fd7eecc
relation: 10.1063/1.4801120
identifier: 10.1063/1.4801120