Caputo’s implicit solution of time-fractional diffusion equation using half-sweep AOR iteration
The aim of this paper deals with the application of Half-Sweep Accelerated Over- Relaxation (HSAOR) iterative method using an unconditionally implicit finite difference approximation equation from the discretization of the one-dimensional linear time-fractional diffusion equations by using the Caput...
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| Language: | en en |
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Research India Publications
2016
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| Online Access: | https://eprints.ums.edu.my/id/eprint/29310/1/Caputo%E2%80%99s%20implicit%20solution%20of%20time-fractional%20diffusion%20equation%20using%20half-sweep%20AOR%20iteration.pdf https://eprints.ums.edu.my/id/eprint/29310/2/Caputo%E2%80%99s%20implicit%20solution%20of%20time-fractional%20diffusion%20equation%20using%20half-sweep%20AOR%20iteration1.pdf https://eprints.ums.edu.my/id/eprint/29310/ https://www.ripublication.com/gjpam16/gjpamv12n4_58.pdf |
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| author | Andang Sunarto Jumat Sulaiman Azali Saudi |
| author_facet | Andang Sunarto Jumat Sulaiman Azali Saudi |
| author_sort | Andang Sunarto |
| building | UMS Library |
| collection | Institutional Repository |
| content_provider | Universiti Malaysia Sabah |
| content_source | UMS Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | The aim of this paper deals with the application of Half-Sweep Accelerated Over- Relaxation (HSAOR) iterative method using an unconditionally implicit finite difference approximation equation from the discretization of the one-dimensional linear time-fractional diffusion equations by using the Caputo’s time fractional derivative. The Caputo’s implicit finite difference approximation equation leads a linear system which is solved by using the proposed HSAOR iterative method. Throughout implementations of two numerical experiments conducted, it has shown that the HSAOR method is superior as compared with FSAOR and FSOR methods. |
| format | Article |
| id | my.ums.eprints-29310 |
| institution | Universiti Malaysia Sabah |
| language | en en |
| publishDate | 2016 |
| publisher | Research India Publications |
| record_format | eprints |
| spelling | my.ums.eprints-293102021-09-24T07:42:09Z https://eprints.ums.edu.my/id/eprint/29310/ Caputo’s implicit solution of time-fractional diffusion equation using half-sweep AOR iteration Andang Sunarto Jumat Sulaiman Azali Saudi QA1-939 Mathematics QA75.5-76.95 Electronic computers. Computer science The aim of this paper deals with the application of Half-Sweep Accelerated Over- Relaxation (HSAOR) iterative method using an unconditionally implicit finite difference approximation equation from the discretization of the one-dimensional linear time-fractional diffusion equations by using the Caputo’s time fractional derivative. The Caputo’s implicit finite difference approximation equation leads a linear system which is solved by using the proposed HSAOR iterative method. Throughout implementations of two numerical experiments conducted, it has shown that the HSAOR method is superior as compared with FSAOR and FSOR methods. Research India Publications 2016 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/29310/1/Caputo%E2%80%99s%20implicit%20solution%20of%20time-fractional%20diffusion%20equation%20using%20half-sweep%20AOR%20iteration.pdf text en https://eprints.ums.edu.my/id/eprint/29310/2/Caputo%E2%80%99s%20implicit%20solution%20of%20time-fractional%20diffusion%20equation%20using%20half-sweep%20AOR%20iteration1.pdf Andang Sunarto and Jumat Sulaiman and Azali Saudi (2016) Caputo’s implicit solution of time-fractional diffusion equation using half-sweep AOR iteration. Global Journal of Pure and Applied Mathematics, 12. pp. 3469-3479. ISSN 0973-1768 https://www.ripublication.com/gjpam16/gjpamv12n4_58.pdf |
| spellingShingle | QA1-939 Mathematics QA75.5-76.95 Electronic computers. Computer science Andang Sunarto Jumat Sulaiman Azali Saudi Caputo’s implicit solution of time-fractional diffusion equation using half-sweep AOR iteration |
| title | Caputo’s implicit solution of time-fractional diffusion equation using half-sweep AOR iteration |
| title_full | Caputo’s implicit solution of time-fractional diffusion equation using half-sweep AOR iteration |
| title_fullStr | Caputo’s implicit solution of time-fractional diffusion equation using half-sweep AOR iteration |
| title_full_unstemmed | Caputo’s implicit solution of time-fractional diffusion equation using half-sweep AOR iteration |
| title_short | Caputo’s implicit solution of time-fractional diffusion equation using half-sweep AOR iteration |
| title_sort | caputo’s implicit solution of time-fractional diffusion equation using half-sweep aor iteration |
| topic | QA1-939 Mathematics QA75.5-76.95 Electronic computers. Computer science |
| url | https://eprints.ums.edu.my/id/eprint/29310/1/Caputo%E2%80%99s%20implicit%20solution%20of%20time-fractional%20diffusion%20equation%20using%20half-sweep%20AOR%20iteration.pdf https://eprints.ums.edu.my/id/eprint/29310/2/Caputo%E2%80%99s%20implicit%20solution%20of%20time-fractional%20diffusion%20equation%20using%20half-sweep%20AOR%20iteration1.pdf https://eprints.ums.edu.my/id/eprint/29310/ https://www.ripublication.com/gjpam16/gjpamv12n4_58.pdf |
| url_provider | http://eprints.ums.edu.my/ |