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

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

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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
Keyword:	Quarter-Sweep Iteration, Arithmetic Mean Algorithm, QSCN Finite Difference
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics Q Science > QA Mathematics > QA1-939 Mathematics > QA299.6-433 Analysis
Department:	SCHOOL > School of Science and Technology
Depositing User:	ABDULLAH BIN SABUDIN -
Date Deposited:	23 Dec 2024 11:02
Last Modified:	23 Dec 2024 11:02
URI:	https://eprints.ums.edu.my/id/eprint/42358

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