Implementation of the 4EGKSOR for Solving One-Dimensional Time-Fractional Parabolic Equations with Grünwald Implicit Difference Scheme

Implementation of the 4EGKSOR for Solving One-Dimensional Time-Fractional Parabolic Equations with Grünwald Implicit Difference Scheme

Solving one-dimensional time-fractional parabolic equations using numerical technique will require some iterative solver to solve the generated large and sparse linear systems. Thus, by considering the advantages of the Explicit Group iteration technique together with the Kaudd SOR (KSOR) iterative...

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Published in:Lecture Notes in Electrical Engineering
Main Author: Muhiddin F.A.; Sulaiman J.; Sunarto A.
Format: Conference paper
Language:English
Published: Springer Verlag 2020
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85072971986&doi=10.1007%2f978-981-15-0058-9_49&partnerID=40&md5=63a34ad4cb1c4fb502c0a8c75b524627
id 2-s2.0-85072971986
spelling 2-s2.0-85072971986
Muhiddin F.A.; Sulaiman J.; Sunarto A.
Implementation of the 4EGKSOR for Solving One-Dimensional Time-Fractional Parabolic Equations with Grünwald Implicit Difference Scheme
2020
Lecture Notes in Electrical Engineering
603

10.1007/978-981-15-0058-9_49
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85072971986&doi=10.1007%2f978-981-15-0058-9_49&partnerID=40&md5=63a34ad4cb1c4fb502c0a8c75b524627
Solving one-dimensional time-fractional parabolic equations using numerical technique will require some iterative solver to solve the generated large and sparse linear systems. Thus, by considering the advantages of the Explicit Group iteration technique together with the Kaudd SOR (KSOR) iterative method, this paper examines the efficiency of the four-point Explicit Group Kaudd SOR (4EGKSOR) iterative method to solve the approximation equations generated from discretization of one-dimensional time-fractional parabolic equations using the finite difference scheme with the second order Grünwald Implicit difference scheme. In addition, the formulation and implementation of the proposed method to solve the problem are also presented. Numerical result and comparison with four-point Explicit Group Gauss-Seidel (4EGGS) method are given to illustrate the efficiency of the proposed method. © 2020, Springer Nature Singapore Pte Ltd.
Springer Verlag
18761100
English
Conference paper
author Muhiddin F.A.; Sulaiman J.; Sunarto A.
spellingShingle Muhiddin F.A.; Sulaiman J.; Sunarto A.
Implementation of the 4EGKSOR for Solving One-Dimensional Time-Fractional Parabolic Equations with Grünwald Implicit Difference Scheme
author_facet Muhiddin F.A.; Sulaiman J.; Sunarto A.
author_sort Muhiddin F.A.; Sulaiman J.; Sunarto A.
title Implementation of the 4EGKSOR for Solving One-Dimensional Time-Fractional Parabolic Equations with Grünwald Implicit Difference Scheme
title_short Implementation of the 4EGKSOR for Solving One-Dimensional Time-Fractional Parabolic Equations with Grünwald Implicit Difference Scheme
title_full Implementation of the 4EGKSOR for Solving One-Dimensional Time-Fractional Parabolic Equations with Grünwald Implicit Difference Scheme
title_fullStr Implementation of the 4EGKSOR for Solving One-Dimensional Time-Fractional Parabolic Equations with Grünwald Implicit Difference Scheme
title_full_unstemmed Implementation of the 4EGKSOR for Solving One-Dimensional Time-Fractional Parabolic Equations with Grünwald Implicit Difference Scheme
title_sort Implementation of the 4EGKSOR for Solving One-Dimensional Time-Fractional Parabolic Equations with Grünwald Implicit Difference Scheme
publishDate 2020
container_title Lecture Notes in Electrical Engineering
container_volume 603
container_issue
doi_str_mv 10.1007/978-981-15-0058-9_49
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85072971986&doi=10.1007%2f978-981-15-0058-9_49&partnerID=40&md5=63a34ad4cb1c4fb502c0a8c75b524627
description Solving one-dimensional time-fractional parabolic equations using numerical technique will require some iterative solver to solve the generated large and sparse linear systems. Thus, by considering the advantages of the Explicit Group iteration technique together with the Kaudd SOR (KSOR) iterative method, this paper examines the efficiency of the four-point Explicit Group Kaudd SOR (4EGKSOR) iterative method to solve the approximation equations generated from discretization of one-dimensional time-fractional parabolic equations using the finite difference scheme with the second order Grünwald Implicit difference scheme. In addition, the formulation and implementation of the proposed method to solve the problem are also presented. Numerical result and comparison with four-point Explicit Group Gauss-Seidel (4EGGS) method are given to illustrate the efficiency of the proposed method. © 2020, Springer Nature Singapore Pte Ltd.
publisher Springer Verlag
issn 18761100
language English
format Conference paper
accesstype
record_format scopus
collection Scopus
_version_ 1809677686486859776

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