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

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.

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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 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.

Item Type:Article
Keyword:Quarter-Sweep Iteration; Arithmetic Mean Algorithm; QSCN Finite Difference
Subject:Differential equations
Subject:Numerical calculations
Faculty or Institute:Faculty of Computer Science and Information Technology
ID Code:12754
Deposited By: Umikalthom Abdullah
Deposited On:19 Jan 2012 09:26
Last Modified:17 Dec 2012 03:07

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