Implementation of the half-sweep AOR iterative algorithm for space-fractional diffusion equations
In this paper, we consider the numerical solution of one dimensional space-fractional diffusion equation. The half-sweep AOR (HSAOR) iterative method is applied to solve linear system generated from discretization of one dimensional space-fractional diffusion equation using Caputo’s derivative opera...
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Online Access: | https://eprints.ums.edu.my/id/eprint/20645/1/Implementation%20of%20the%20half.pdf https://eprints.ums.edu.my/id/eprint/20645/7/IMPLEMENTATION%20OF%20THE%20HALF-SWEEP%20AOR%20ITERATIVE%20ALGORITHM%20FOR%20SPACE-FRACTIONAL%20DIFFUSION%20EQUATIONS.pdf https://eprints.ums.edu.my/id/eprint/20645/ https://jurnalteknologi.utm.my/index.php/jurnalteknologi/article/view/8968 |
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my.ums.eprints.206452020-12-17T07:30:08Z https://eprints.ums.edu.my/id/eprint/20645/ Implementation of the half-sweep AOR iterative algorithm for space-fractional diffusion equations Andang Sunarto Jumat Sulaiman Azali Saudi QA Mathematics In this paper, we consider the numerical solution of one dimensional space-fractional diffusion equation. The half-sweep AOR (HSAOR) iterative method is applied to solve linear system generated from discretization of one dimensional space-fractional diffusion equation using Caputo’s derivative operator and half-sweep implicit finite difference scheme. Furthermore, the formulation and implementation of HSAOR iterative method to solve the problem are also presented. Two examples and comparisons with FSAOR iterative method are given to show the effectiveness of the proposed method. From numerical results obtained, it has shown that the HSAOR iterative method is superior as compared with the FSAOR methods. UTM Press 2016 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/20645/1/Implementation%20of%20the%20half.pdf text en https://eprints.ums.edu.my/id/eprint/20645/7/IMPLEMENTATION%20OF%20THE%20HALF-SWEEP%20AOR%20ITERATIVE%20ALGORITHM%20FOR%20SPACE-FRACTIONAL%20DIFFUSION%20EQUATIONS.pdf Andang Sunarto and Jumat Sulaiman and Azali Saudi (2016) Implementation of the half-sweep AOR iterative algorithm for space-fractional diffusion equations. Jurnal Teknologi, 78 (6-4). pp. 7-12. ISSN 2180-3722 https://jurnalteknologi.utm.my/index.php/jurnalteknologi/article/view/8968 |
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In this paper, we consider the numerical solution of one dimensional space-fractional diffusion equation. The half-sweep AOR (HSAOR) iterative method is applied to solve linear system generated from discretization of one dimensional space-fractional diffusion equation using Caputo’s derivative operator and half-sweep implicit finite difference scheme. Furthermore, the formulation and implementation of HSAOR iterative method to solve the problem are also presented. Two examples and comparisons with FSAOR iterative method are given to show the effectiveness of the proposed method. From numerical results obtained, it has shown that the HSAOR iterative method is superior as compared with the FSAOR methods. |
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Article |
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Andang Sunarto Jumat Sulaiman Azali Saudi |
author_facet |
Andang Sunarto Jumat Sulaiman Azali Saudi |
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Andang Sunarto |
title |
Implementation of the half-sweep AOR iterative algorithm for space-fractional diffusion equations |
title_short |
Implementation of the half-sweep AOR iterative algorithm for space-fractional diffusion equations |
title_full |
Implementation of the half-sweep AOR iterative algorithm for space-fractional diffusion equations |
title_fullStr |
Implementation of the half-sweep AOR iterative algorithm for space-fractional diffusion equations |
title_full_unstemmed |
Implementation of the half-sweep AOR iterative algorithm for space-fractional diffusion equations |
title_sort |
implementation of the half-sweep aor iterative algorithm for space-fractional diffusion equations |
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UTM Press |
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2016 |
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https://eprints.ums.edu.my/id/eprint/20645/1/Implementation%20of%20the%20half.pdf https://eprints.ums.edu.my/id/eprint/20645/7/IMPLEMENTATION%20OF%20THE%20HALF-SWEEP%20AOR%20ITERATIVE%20ALGORITHM%20FOR%20SPACE-FRACTIONAL%20DIFFUSION%20EQUATIONS.pdf https://eprints.ums.edu.my/id/eprint/20645/ https://jurnalteknologi.utm.my/index.php/jurnalteknologi/article/view/8968 |
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