Numerical solutions of two-point fuzzy boundary value problem using half-sweep alternating group explicit method

The main purpose of this paper is to examine the application of complexity reduction approach based on half-sweep iteration concept with Alternating Group Explicit (AGE) method namely Half-Sweep AGE (HSAGE) method for solving system of linear equations generated from the discretization of two-point...

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Main Authors: Dahalan, A.A., Muthuvalu, M.S., Sulaiman, J.
Format: Conference or Workshop Item
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.32639 /
Published: 2013
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84887036789&doi=10.1063%2f1.4823884&partnerID=40&md5=e6e696824f52be7e115579a56bbccef9
http://eprints.utp.edu.my/32639/
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spelling utp-eprints.326392022-03-29T14:08:21Z Numerical solutions of two-point fuzzy boundary value problem using half-sweep alternating group explicit method Dahalan, A.A. Muthuvalu, M.S. Sulaiman, J. The main purpose of this paper is to examine the application of complexity reduction approach based on half-sweep iteration concept with Alternating Group Explicit (AGE) method namely Half-Sweep AGE (HSAGE) method for solving system of linear equations generated from the discretization of two-point fuzzy boundary value problems (FBVPs). To form the linear system, the corresponding second order finite difference scheme has been used to derive the half-sweep finite difference approximation equation of the problems. The formulation and implementation of the proposed iterative method are discussed. Furthermore, numerical results of two test problems are also included in order to verify performance of the method compared to Full-Sweep Gauss-Seidel (FSGS) and Full-Sweep AGE (FSAGE) methods. The findings show that the proposed HSAGE method is superior to other tested methods in the sense of number of iterations, execution time and Hausdorff distance. © 2013 AIP Publishing LLC. 2013 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84887036789&doi=10.1063%2f1.4823884&partnerID=40&md5=e6e696824f52be7e115579a56bbccef9 Dahalan, A.A. and Muthuvalu, M.S. and Sulaiman, J. (2013) Numerical solutions of two-point fuzzy boundary value problem using half-sweep alternating group explicit method. In: UNSPECIFIED. http://eprints.utp.edu.my/32639/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description The main purpose of this paper is to examine the application of complexity reduction approach based on half-sweep iteration concept with Alternating Group Explicit (AGE) method namely Half-Sweep AGE (HSAGE) method for solving system of linear equations generated from the discretization of two-point fuzzy boundary value problems (FBVPs). To form the linear system, the corresponding second order finite difference scheme has been used to derive the half-sweep finite difference approximation equation of the problems. The formulation and implementation of the proposed iterative method are discussed. Furthermore, numerical results of two test problems are also included in order to verify performance of the method compared to Full-Sweep Gauss-Seidel (FSGS) and Full-Sweep AGE (FSAGE) methods. The findings show that the proposed HSAGE method is superior to other tested methods in the sense of number of iterations, execution time and Hausdorff distance. © 2013 AIP Publishing LLC.
format Conference or Workshop Item
author Dahalan, A.A.
Muthuvalu, M.S.
Sulaiman, J.
spellingShingle Dahalan, A.A.
Muthuvalu, M.S.
Sulaiman, J.
Numerical solutions of two-point fuzzy boundary value problem using half-sweep alternating group explicit method
author_sort Dahalan, A.A.
title Numerical solutions of two-point fuzzy boundary value problem using half-sweep alternating group explicit method
title_short Numerical solutions of two-point fuzzy boundary value problem using half-sweep alternating group explicit method
title_full Numerical solutions of two-point fuzzy boundary value problem using half-sweep alternating group explicit method
title_fullStr Numerical solutions of two-point fuzzy boundary value problem using half-sweep alternating group explicit method
title_full_unstemmed Numerical solutions of two-point fuzzy boundary value problem using half-sweep alternating group explicit method
title_sort numerical solutions of two-point fuzzy boundary value problem using half-sweep alternating group explicit method
publishDate 2013
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-84887036789&doi=10.1063%2f1.4823884&partnerID=40&md5=e6e696824f52be7e115579a56bbccef9
http://eprints.utp.edu.my/32639/
_version_ 1741197761982758912
score 11.62408

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