Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration

Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration

This paper presents the application of a half-sweep iteration concept to the Grünwald implicit difference schemes with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving one-dimensional linear time-fractional parabolic equations. The formulation and implementation of the propose...

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Published in:Journal of Physics: Conference Series
Main Author: Muhiddin F.A.; Sulaiman J.; Sunarto A.
Format: Conference paper
Language:English
Published: Institute of Physics Publishing 2020
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85083206645&doi=10.1088%2f1742-6596%2f1489%2f1%2f012025&partnerID=40&md5=2a83f2441f0be5b65ef9721bca94bd41
id 2-s2.0-85083206645
spelling 2-s2.0-85083206645
Muhiddin F.A.; Sulaiman J.; Sunarto A.
Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration
2020
Journal of Physics: Conference Series
1489
1
10.1088/1742-6596/1489/1/012025
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85083206645&doi=10.1088%2f1742-6596%2f1489%2f1%2f012025&partnerID=40&md5=2a83f2441f0be5b65ef9721bca94bd41
This paper presents the application of a half-sweep iteration concept to the Grünwald implicit difference schemes with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving one-dimensional linear time-fractional parabolic equations. The formulation and implementation of the proposed methods are discussed. In order to validate the performance of HSKSOR, comparisons are made with another two iterative methods, full-sweep KSOR (FSKSOR) and Gauss-Seidel (FSGS) iterative methods. Based on the numerical results of three tested examples, it shows that the HSKSOR is superior compared to FSKSOR and FSGS iterative methods. © Published under licence by IOP Publishing Ltd.
Institute of Physics Publishing
17426588
English
Conference paper
All Open Access; Gold Open Access
author Muhiddin F.A.; Sulaiman J.; Sunarto A.
spellingShingle Muhiddin F.A.; Sulaiman J.; Sunarto A.
Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration
author_facet Muhiddin F.A.; Sulaiman J.; Sunarto A.
author_sort Muhiddin F.A.; Sulaiman J.; Sunarto A.
title Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration
title_short Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration
title_full Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration
title_fullStr Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration
title_full_unstemmed Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration
title_sort Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration
publishDate 2020
container_title Journal of Physics: Conference Series
container_volume 1489
container_issue 1
doi_str_mv 10.1088/1742-6596/1489/1/012025
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85083206645&doi=10.1088%2f1742-6596%2f1489%2f1%2f012025&partnerID=40&md5=2a83f2441f0be5b65ef9721bca94bd41
description This paper presents the application of a half-sweep iteration concept to the Grünwald implicit difference schemes with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving one-dimensional linear time-fractional parabolic equations. The formulation and implementation of the proposed methods are discussed. In order to validate the performance of HSKSOR, comparisons are made with another two iterative methods, full-sweep KSOR (FSKSOR) and Gauss-Seidel (FSGS) iterative methods. Based on the numerical results of three tested examples, it shows that the HSKSOR is superior compared to FSKSOR and FSGS iterative methods. © Published under licence by IOP Publishing Ltd.
publisher Institute of Physics Publishing
issn 17426588
language English
format Conference paper
accesstype All Open Access; Gold Open Access
record_format scopus
collection Scopus
_version_ 1809677897859858432

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