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

• 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

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.