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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 quartersweep i...

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Main Authors: Jumat.Sulaiman, M. Othman, M.K. Hasan
Format: Article
Language:English
Published: Faculty of Science, Chulalongkorn University 2009
Subjects:
QA1-939 Mathematics
QA299.6-433 Analysis
Online Access:https://eprints.ums.edu.my/id/eprint/42358/1/FULL%20TEXT.pdf
https://eprints.ums.edu.my/id/eprint/42358/
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spelling my.ums.eprints.423582024-12-23T03:02:03Z https://eprints.ums.edu.my/id/eprint/42358/ A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations Jumat.Sulaiman M. Othman M.K. Hasan QA1-939 Mathematics QA299.6-433 Analysis 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 quartersweep 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. Faculty of Science, Chulalongkorn University 2009 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/42358/1/FULL%20TEXT.pdf Jumat.Sulaiman and M. Othman and M.K. Hasan (2009) A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations. Chamchuri Journal of Mathematics, 1 (2). pp. 1-11. ISSN 1906-554X
institution Universiti Malaysia Sabah
building UMS Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sabah
content_source UMS Institutional Repository
url_provider http://eprints.ums.edu.my/
language English
topic QA1-939 Mathematics
QA299.6-433 Analysis
spellingShingle QA1-939 Mathematics
QA299.6-433 Analysis
Jumat.Sulaiman
M. Othman
M.K. Hasan
A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations
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 quartersweep 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.
format Article
author Jumat.Sulaiman
M. Othman
M.K. Hasan
author_facet Jumat.Sulaiman
M. Othman
M.K. Hasan
author_sort Jumat.Sulaiman
title 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_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_sort new quarter sweep arithmetic mean (qsam) method to solve diffusion equations
publisher Faculty of Science, Chulalongkorn University
publishDate 2009
url https://eprints.ums.edu.my/id/eprint/42358/1/FULL%20TEXT.pdf
https://eprints.ums.edu.my/id/eprint/42358/
_version_ 1819911289448693760
score 13.223943

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