Half-sweep successive over relaxation iterative method to solve two-point fuzzy boundary value problems

This study deals with the application of numerical methods in solving the fuzzy boundary value problems (FBVPs) which is discretized to derive second order fuzzy finite difference approximation equation. Then this fuzzy approximation equation is used to generate the fuzzy linear system. In addition...

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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.31650 /
Published: American Institute of Physics Inc. 2015
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984585838&doi=10.1063%2f1.4932412&partnerID=40&md5=ab5c0e2625ae6f9b8efec3ae6aec88ea
http://eprints.utp.edu.my/31650/
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spelling utp-eprints.316502022-03-26T03:24:52Z Half-sweep successive over relaxation iterative method to solve two-point fuzzy boundary value problems Dahalan, A.A. Muthuvalu, M.S. Sulaiman, J. This study deals with the application of numerical methods in solving the fuzzy boundary value problems (FBVPs) which is discretized to derive second order fuzzy finite difference approximation equation. Then this fuzzy approximation equation is used to generate the fuzzy linear system. In addition to that, the fuzzy linear system will be solved iteratively by using Gauss-Seidel (GS), Full-Sweep Successive Over-Relaxation (FSSOR) and Half-Sweep Successive Over Relaxation (HSSOR) iterative methods. Then several numerical experiments are conducted to illustrate the effectiveness of HSSOR iterative method compared with the GS and FSSOR methods. © 2015 AIP Publishing LLC. American Institute of Physics Inc. 2015 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984585838&doi=10.1063%2f1.4932412&partnerID=40&md5=ab5c0e2625ae6f9b8efec3ae6aec88ea Dahalan, A.A. and Muthuvalu, M.S. and Sulaiman, J. (2015) Half-sweep successive over relaxation iterative method to solve two-point fuzzy boundary value problems. In: UNSPECIFIED. http://eprints.utp.edu.my/31650/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description This study deals with the application of numerical methods in solving the fuzzy boundary value problems (FBVPs) which is discretized to derive second order fuzzy finite difference approximation equation. Then this fuzzy approximation equation is used to generate the fuzzy linear system. In addition to that, the fuzzy linear system will be solved iteratively by using Gauss-Seidel (GS), Full-Sweep Successive Over-Relaxation (FSSOR) and Half-Sweep Successive Over Relaxation (HSSOR) iterative methods. Then several numerical experiments are conducted to illustrate the effectiveness of HSSOR iterative method compared with the GS and FSSOR methods. © 2015 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.
Half-sweep successive over relaxation iterative method to solve two-point fuzzy boundary value problems
author_sort Dahalan, A.A.
title Half-sweep successive over relaxation iterative method to solve two-point fuzzy boundary value problems
title_short Half-sweep successive over relaxation iterative method to solve two-point fuzzy boundary value problems
title_full Half-sweep successive over relaxation iterative method to solve two-point fuzzy boundary value problems
title_fullStr Half-sweep successive over relaxation iterative method to solve two-point fuzzy boundary value problems
title_full_unstemmed Half-sweep successive over relaxation iterative method to solve two-point fuzzy boundary value problems
title_sort half-sweep successive over relaxation iterative method to solve two-point fuzzy boundary value problems
publisher American Institute of Physics Inc.
publishDate 2015
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984585838&doi=10.1063%2f1.4932412&partnerID=40&md5=ab5c0e2625ae6f9b8efec3ae6aec88ea
http://eprints.utp.edu.my/31650/
_version_ 1741197612547047424
score 11.62408

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