A New Quarter Sweep Arithmetic Mean (QSAM) Method to Solve Diffusion Equations

CJM Vol. 1 No. 2 (December 2009), pp. 93 – 103.


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.

2000 Mathematics Subject Classification: 

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