Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations

Authors: J. Sulaiman; M. Othman; M. K. Hasan

Source: International Journal of Computer Mathematics, Volume 81, Number 12, December 2004 , pp. 1559-1565(7)

Publisher: Taylor and Francis Ltd

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Abstract:

The aim of this article is to describe the formulation of the quarter-sweep iterative alternating decomposition explicit (QSIADE) method using the finite difference approach for solving one-dimensional diffusion equations. The concept of the QSIADE method is inspired via combination between the quarter-sweep iterative and the iterative alternating decomposition explicit (IADE) methods known as one of the technique in two-step iterative methods. The QSIADE method has been shown to be very fast as compared with the standard IADE method. Some numerical tests were included to support our statement.*

E-mail: jumat@usm.edu.my

Keywords: Diffusion Equation; Full-, Half- And Quarter-sweeps Iterative Alternat; Performance Evaluation

Document Type: Research article

DOI: 10.1080/00207160412331291125

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