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

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 quar...

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Bibliographic Details
Main Authors: Sulaiman, Jumat, Othman, Mohamed, Hasan, Mohammad Khatim
Format: Article
Language:English
Published: Taylor & Francis 2004
Online Access:http://psasir.upm.edu.my/id/eprint/40274/1/Quarter-sweep%20iterative%20alternating%20decomposition%20explicit%20algorithm%20applied%20to%20diffusion%20equations.pdf
http://psasir.upm.edu.my/id/eprint/40274/
http://www.tandfonline.com/doi/abs/10.1080/00207160412331291125#.VeT5NZdrsZM
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Summary: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.