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


Citation

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.

Abstract / Synopsis

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.


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Additional Metadata

Item Type: Article
Subject: Differential equations
Subject: Numerical calculations
Divisions: Faculty of Computer Science and Information Technology
Keywords: Quarter-Sweep Iteration; Arithmetic Mean Algorithm; QSCN Finite Difference
Depositing User: Umikalthom Abdullah
Date Deposited: 19 Jan 2012 09:26
Last Modified: 17 Dec 2012 03:07
URI: http://psasir.upm.edu.my/id/eprint/12754
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