Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations
The aim of this article is to describe the formulation of the quarter-sweep iterative alternating decomposition explicit (QSIADE) method using the finite difference approach for solving one-dimensional diffusion equations. The concept of the QSIADE method is inspired via combination between the quar...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis
2004
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| Online Access: | http://psasir.upm.edu.my/id/eprint/40274/ http://psasir.upm.edu.my/id/eprint/40274/1/Quarter-sweep%20iterative%20alternating%20decomposition%20explicit%20algorithm%20applied%20to%20diffusion%20equations.pdf |
| _version_ | 1848849378750496768 |
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| author | Sulaiman, Jumat Othman, Mohamed Hasan, Mohammad Khatim |
| author_facet | Sulaiman, Jumat Othman, Mohamed Hasan, Mohammad Khatim |
| author_sort | Sulaiman, Jumat |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The aim of this article is to describe the formulation of the quarter-sweep iterative alternating decomposition explicit (QSIADE) method using the finite difference approach for solving one-dimensional diffusion equations. The concept of the QSIADE method is inspired via combination between the quarter-sweep iterative and the iterative alternating decomposition explicit (IADE) methods known as one of the technique in two-step iterative methods. The QSIADE method has been shown to be very fast as compared with the standard IADE method. Some numerical tests were included to support our statement. |
| first_indexed | 2025-11-15T09:49:27Z |
| format | Article |
| id | upm-40274 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:49:27Z |
| publishDate | 2004 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-402742015-09-15T06:37:06Z http://psasir.upm.edu.my/id/eprint/40274/ Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations Sulaiman, Jumat Othman, Mohamed Hasan, Mohammad Khatim The aim of this article is to describe the formulation of the quarter-sweep iterative alternating decomposition explicit (QSIADE) method using the finite difference approach for solving one-dimensional diffusion equations. The concept of the QSIADE method is inspired via combination between the quarter-sweep iterative and the iterative alternating decomposition explicit (IADE) methods known as one of the technique in two-step iterative methods. The QSIADE method has been shown to be very fast as compared with the standard IADE method. Some numerical tests were included to support our statement. Taylor & Francis 2004 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/40274/1/Quarter-sweep%20iterative%20alternating%20decomposition%20explicit%20algorithm%20applied%20to%20diffusion%20equations.pdf Sulaiman, Jumat and Othman, Mohamed and Hasan, Mohammad Khatim (2004) Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations. International Journal of Computer Mathematics, 81 (12). pp. 1559-1565. ISSN 0020-7160; ESSN: 1029-0265 http://www.tandfonline.com/doi/abs/10.1080/00207160412331291125#.VeT5NZdrsZM 10.1080/00207160412331291125 |
| spellingShingle | Sulaiman, Jumat Othman, Mohamed Hasan, Mohammad Khatim Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations |
| title | Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations |
| title_full | Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations |
| title_fullStr | Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations |
| title_full_unstemmed | Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations |
| title_short | Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations |
| title_sort | quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations |
| url | http://psasir.upm.edu.my/id/eprint/40274/ http://psasir.upm.edu.my/id/eprint/40274/ http://psasir.upm.edu.my/id/eprint/40274/ http://psasir.upm.edu.my/id/eprint/40274/1/Quarter-sweep%20iterative%20alternating%20decomposition%20explicit%20algorithm%20applied%20to%20diffusion%20equations.pdf |