Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations
The main purpose of this paper is to investigate the effectiveness of the Quarter-Sweep Arithmetic Mean (QSAM) iterative method by using the implicit finite difference approximation in order to solve fourth-order parabolic equations. The basic idea and the formulation of this method are also present...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/69598/ http://psasir.upm.edu.my/id/eprint/69598/1/Quarter-sweep%20arithmetic%20mean%20iterative%20algorithm%20to%20solve%20fourth-order%20parabolic%20equations.pdf |
| _version_ | 1848856453374279680 |
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| author | Sulaiman, Jumat Hasan, Mohammad Khatim Othman, Mohamed Yaacob, Zaihar |
| author_facet | Sulaiman, Jumat Hasan, Mohammad Khatim Othman, Mohamed Yaacob, Zaihar |
| author_sort | Sulaiman, Jumat |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The main purpose of this paper is to investigate the effectiveness of the Quarter-Sweep Arithmetic Mean (QSAM) iterative method by using the implicit finite difference approximation in order to solve fourth-order parabolic equations. The basic idea and the formulation of this method are also presented. In fact, implementations of Full-Sweep, Half-Sweep, and Quarter-Sweep Arithmetic Mean methods, namely FSAM, HSAM and QSAM respectively are also shown. Finally, through numerical results obtained, it has shown that the QSAM iterative method is superior as compared with the FSAM and HSAM methods. |
| first_indexed | 2025-11-15T11:41:54Z |
| format | Conference or Workshop Item |
| id | upm-69598 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:41:54Z |
| publishDate | 2009 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-695982019-07-04T05:02:23Z http://psasir.upm.edu.my/id/eprint/69598/ Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations Sulaiman, Jumat Hasan, Mohammad Khatim Othman, Mohamed Yaacob, Zaihar The main purpose of this paper is to investigate the effectiveness of the Quarter-Sweep Arithmetic Mean (QSAM) iterative method by using the implicit finite difference approximation in order to solve fourth-order parabolic equations. The basic idea and the formulation of this method are also presented. In fact, implementations of Full-Sweep, Half-Sweep, and Quarter-Sweep Arithmetic Mean methods, namely FSAM, HSAM and QSAM respectively are also shown. Finally, through numerical results obtained, it has shown that the QSAM iterative method is superior as compared with the FSAM and HSAM methods. IEEE 2009 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/69598/1/Quarter-sweep%20arithmetic%20mean%20iterative%20algorithm%20to%20solve%20fourth-order%20parabolic%20equations.pdf Sulaiman, Jumat and Hasan, Mohammad Khatim and Othman, Mohamed and Yaacob, Zaihar (2009) Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations. In: 2009 International Conference on Electrical Engineering and Informatics, 5-7 Aug. 2009, Selangor, Malaysia. (pp. 194-198). 10.1109/ICEEI.2009.5254791 |
| spellingShingle | Sulaiman, Jumat Hasan, Mohammad Khatim Othman, Mohamed Yaacob, Zaihar Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations |
| title | Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations |
| title_full | Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations |
| title_fullStr | Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations |
| title_full_unstemmed | Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations |
| title_short | Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations |
| title_sort | quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations |
| url | http://psasir.upm.edu.my/id/eprint/69598/ http://psasir.upm.edu.my/id/eprint/69598/ http://psasir.upm.edu.my/id/eprint/69598/1/Quarter-sweep%20arithmetic%20mean%20iterative%20algorithm%20to%20solve%20fourth-order%20parabolic%20equations.pdf |