Solving space-fractional diffusion equations by using HSSOR method
The purpose of this study is to apply half-sweep iteration concept with SOR iterative method namely half-sweep SOR (HSSOR) method in solving space-fractional diffusion equations. The Caputo’s derivative operators and implicit discretization scheme based on finite difference (FD) approach will be use...
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| Format: | Article |
| Language: | English English |
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Pushpa Publishing House
2017
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| Online Access: | https://eprints.ums.edu.my/id/eprint/34601/2/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/34601/1/FULLTEXT.pdf |
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| author | A. Sunarto Jumat Sulaiman |
| author_facet | A. Sunarto Jumat Sulaiman |
| author_sort | A. Sunarto |
| collection | UMS |
| description | The purpose of this study is to apply half-sweep iteration concept with SOR iterative method namely half-sweep SOR (HSSOR) method in solving space-fractional diffusion equations. The Caputo’s derivative operators and implicit discretization scheme based on finite difference (FD) approach will be used to approximate linear space-fractional diffusion equations for constructing system of linear equations. Two numerical tests were carried out to show the effectiveness of the proposed method. Then, the results indicated that the HSSOR iterative method has less number of iterations (K) and computational time (time) as compared with FSSOR method. However in term of the maximum error analysis, HSSOR method is comparable with FSSOR method. Finally, it can be pointed out that the HSSOR is superior to FSSOR iterative method. |
| first_indexed | 2024-03-06T03:21:25Z |
| format | Article |
| id | ums.eprints-34601 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:21:25Z |
| publishDate | 2017 |
| publisher | Pushpa Publishing House |
| record_format | dspace |
| spelling | ums.eprints-346012022-10-28T07:13:52Z https://eprints.ums.edu.my/id/eprint/34601/ Solving space-fractional diffusion equations by using HSSOR method A. Sunarto Jumat Sulaiman QA299.6-433 Analysis The purpose of this study is to apply half-sweep iteration concept with SOR iterative method namely half-sweep SOR (HSSOR) method in solving space-fractional diffusion equations. The Caputo’s derivative operators and implicit discretization scheme based on finite difference (FD) approach will be used to approximate linear space-fractional diffusion equations for constructing system of linear equations. Two numerical tests were carried out to show the effectiveness of the proposed method. Then, the results indicated that the HSSOR iterative method has less number of iterations (K) and computational time (time) as compared with FSSOR method. However in term of the maximum error analysis, HSSOR method is comparable with FSSOR method. Finally, it can be pointed out that the HSSOR is superior to FSSOR iterative method. Pushpa Publishing House 2017-10 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/34601/2/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/34601/1/FULLTEXT.pdf A. Sunarto and Jumat Sulaiman (2017) Solving space-fractional diffusion equations by using HSSOR method. Far East Journal of Applied Mathematics, 97. pp. 159-169. ISSN 0972-0960 http://www.pphmj.com/abstract/11297.htm http://dx.doi.org/10.17654/AM097040159 http://dx.doi.org/10.17654/AM097040159 |
| spellingShingle | QA299.6-433 Analysis A. Sunarto Jumat Sulaiman Solving space-fractional diffusion equations by using HSSOR method |
| title | Solving space-fractional diffusion equations by using HSSOR method |
| title_full | Solving space-fractional diffusion equations by using HSSOR method |
| title_fullStr | Solving space-fractional diffusion equations by using HSSOR method |
| title_full_unstemmed | Solving space-fractional diffusion equations by using HSSOR method |
| title_short | Solving space-fractional diffusion equations by using HSSOR method |
| title_sort | solving space fractional diffusion equations by using hssor method |
| topic | QA299.6-433 Analysis |
| url | https://eprints.ums.edu.my/id/eprint/34601/2/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/34601/1/FULLTEXT.pdf |
| work_keys_str_mv | AT asunarto solvingspacefractionaldiffusionequationsbyusinghssormethod AT jumatsulaiman solvingspacefractionaldiffusionequationsbyusinghssormethod |