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Numerical evaluation of quarter-sweep KSOR method to solve time-fractional parabolic equations

We study the performance of the combination of quarter-sweep iteration concept with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving the discretized one-dimensional time-fractional parabolic equation. We called the mixed of these two concepts as QSKSOR. The time-fractional der...

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Main Authors: Fatihah Anas Muhiddin, Jumat Sulaiman, Andang Sunarto
Format: Article
Language:English
English
Published: Global Impact Factor 2020
Subjects:
QA Mathematics
Online Access:https://eprints.ums.edu.my/id/eprint/27167/1/Numerical%20evaluation%20of%20quarter-sweep%20KSOR%20method%20to%20solve%20time-fractional%20parabolic%20equations-Abstract.pdf
https://eprints.ums.edu.my/id/eprint/27167/2/Numerical%20evaluation%20of%20quarter-sweep%20KSOR%20method%20to%20solve%20time-fractional%20parabolic%20equations.pdf
https://eprints.ums.edu.my/id/eprint/27167/
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spelling my.ums.eprints.271672021-06-09T03:45:11Z https://eprints.ums.edu.my/id/eprint/27167/ Numerical evaluation of quarter-sweep KSOR method to solve time-fractional parabolic equations Fatihah Anas Muhiddin Jumat Sulaiman Andang Sunarto QA Mathematics We study the performance of the combination of quarter-sweep iteration concept with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving the discretized one-dimensional time-fractional parabolic equation. We called the mixed of these two concepts as QSKSOR. The time-fractional derivative in Grünwald sense, together with the implicit finite difference scheme was used to discretized the tested problems to form the quarter-sweep implicit finite difference approximation equations in the sense of Grünwald type. This approximation equation of half-sweep will then generate a linear system. Next, we used the proposed QSKSOR iterative method to the generated linear systems before comparing the effectiveness between the other family of KSOR method, FSKSOR and HSKSOR with respect to the full- and half-sweep cases respectively. To do so, three examples are included. The results of this study show the superiority of the QSKSOR iterative method in terms of iteration numbers and execution time in comparison to the other two methods. Global Impact Factor 2020-08 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/27167/1/Numerical%20evaluation%20of%20quarter-sweep%20KSOR%20method%20to%20solve%20time-fractional%20parabolic%20equations-Abstract.pdf text en https://eprints.ums.edu.my/id/eprint/27167/2/Numerical%20evaluation%20of%20quarter-sweep%20KSOR%20method%20to%20solve%20time-fractional%20parabolic%20equations.pdf Fatihah Anas Muhiddin and Jumat Sulaiman and Andang Sunarto (2020) Numerical evaluation of quarter-sweep KSOR method to solve time-fractional parabolic equations. International Journal of Engineering Trends and Technology, 1. pp. 63-69. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85099277297&origin=inward
institution Universiti Malaysia Sabah
building UMS Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sabah
content_source UMS Institutional Repository
url_provider http://eprints.ums.edu.my/
language English
English
topic QA Mathematics
spellingShingle QA Mathematics
Fatihah Anas Muhiddin
Jumat Sulaiman
Andang Sunarto
Numerical evaluation of quarter-sweep KSOR method to solve time-fractional parabolic equations
description We study the performance of the combination of quarter-sweep iteration concept with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving the discretized one-dimensional time-fractional parabolic equation. We called the mixed of these two concepts as QSKSOR. The time-fractional derivative in Grünwald sense, together with the implicit finite difference scheme was used to discretized the tested problems to form the quarter-sweep implicit finite difference approximation equations in the sense of Grünwald type. This approximation equation of half-sweep will then generate a linear system. Next, we used the proposed QSKSOR iterative method to the generated linear systems before comparing the effectiveness between the other family of KSOR method, FSKSOR and HSKSOR with respect to the full- and half-sweep cases respectively. To do so, three examples are included. The results of this study show the superiority of the QSKSOR iterative method in terms of iteration numbers and execution time in comparison to the other two methods.
format Article
author Fatihah Anas Muhiddin
Jumat Sulaiman
Andang Sunarto
author_facet Fatihah Anas Muhiddin
Jumat Sulaiman
Andang Sunarto
author_sort Fatihah Anas Muhiddin
title Numerical evaluation of quarter-sweep KSOR method to solve time-fractional parabolic equations
title_short Numerical evaluation of quarter-sweep KSOR method to solve time-fractional parabolic equations
title_full Numerical evaluation of quarter-sweep KSOR method to solve time-fractional parabolic equations
title_fullStr Numerical evaluation of quarter-sweep KSOR method to solve time-fractional parabolic equations
title_full_unstemmed Numerical evaluation of quarter-sweep KSOR method to solve time-fractional parabolic equations
title_sort numerical evaluation of quarter-sweep ksor method to solve time-fractional parabolic equations
publisher Global Impact Factor
publishDate 2020
url https://eprints.ums.edu.my/id/eprint/27167/1/Numerical%20evaluation%20of%20quarter-sweep%20KSOR%20method%20to%20solve%20time-fractional%20parabolic%20equations-Abstract.pdf
https://eprints.ums.edu.my/id/eprint/27167/2/Numerical%20evaluation%20of%20quarter-sweep%20KSOR%20method%20to%20solve%20time-fractional%20parabolic%20equations.pdf
https://eprints.ums.edu.my/id/eprint/27167/
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85099277297&origin=inward
_version_ 1760230588058435584
score 13.244745

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