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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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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