A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations
The aim of this paper is to introduce the Quarter-Sweep Arithmetic Mean (QSAM) method using the Quarter-Sweep Crank-Nicolson (QSCN) finite difference method for solving one-dimensional diffusion equations. The formulation of the QSAM method is developed by combining the concept of the quarter- sweep...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12754/ |
| _version_ | 1848841921621917696 |
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| author | Sulaiman, J. Othman, Mohamed Hasan, M.K. |
| author_facet | Sulaiman, J. Othman, Mohamed Hasan, M.K. |
| author_sort | Sulaiman, J. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The aim of this paper is to introduce the Quarter-Sweep Arithmetic Mean (QSAM) method using the Quarter-Sweep Crank-Nicolson (QSCN) finite difference method for solving one-dimensional diffusion equations. The formulation of the QSAM method is developed by combining the concept of the quarter- sweep iteration and the Arithmetic Mean (AM) method known as one of two-step iterative methods. The QSAM method has been shown to be very fast as compared to the standard AM method. Some numerical tests were included to support our statement. |
| first_indexed | 2025-11-15T07:50:55Z |
| format | Article |
| id | upm-12754 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:50:55Z |
| publishDate | 2009 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-127542012-12-17T03:07:08Z http://psasir.upm.edu.my/id/eprint/12754/ A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations Sulaiman, J. Othman, Mohamed Hasan, M.K. The aim of this paper is to introduce the Quarter-Sweep Arithmetic Mean (QSAM) method using the Quarter-Sweep Crank-Nicolson (QSCN) finite difference method for solving one-dimensional diffusion equations. The formulation of the QSAM method is developed by combining the concept of the quarter- sweep iteration and the Arithmetic Mean (AM) method known as one of two-step iterative methods. The QSAM method has been shown to be very fast as compared to the standard AM method. Some numerical tests were included to support our statement. 2009 Article PeerReviewed Sulaiman, J. and Othman, Mohamed and Hasan, M.K. (2009) A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations. Chamchuri Journal of Mathematics, 1 (2). pp. 93-103. Differential equations Numerical calculations English |
| spellingShingle | Differential equations Numerical calculations Sulaiman, J. Othman, Mohamed Hasan, M.K. A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations |
| title | A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations |
| title_full | A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations |
| title_fullStr | A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations |
| title_full_unstemmed | A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations |
| title_short | A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations |
| title_sort | new quarter sweep arithmetic mean (qsam) method to solve diffusion equations |
| topic | Differential equations Numerical calculations |
| url | http://psasir.upm.edu.my/id/eprint/12754/ |