A new Quarter-Sweep Arithmetic Mean (QSAM) method to solve diffusion equations

Jumat Sulaiman, and Mohamed Othman, and Mohammad Khatim Hasan, (2009) A new Quarter-Sweep Arithmetic Mean (QSAM) method to solve diffusion equations. Chamchuri Journal of Mathematics, 1 (2). pp. 93-103. ISSN 1906-554X

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: Quarter-Sweep Iteration, Arithmetic Mean Algorithm, QSCN Finite Difference
Subjects: Q Science > QA Mathematics
Divisions: FACULTY > Faculty of Science and Natural Resources
Depositing User: Munira
Date Deposited: 18 Feb 2018 11:56
Last Modified: 18 Feb 2018 11:56
URI: http://eprints.ums.edu.my/id/eprint/18781

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