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

J. Sulaiman, M. Othman, Mohammad Khatim Hasan

Research output: Contribution to journalArticle

36 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1559-1565
Number of pages7
JournalInternational Journal of Computer Mathematics
Volume81
Issue number12
DOIs
Publication statusPublished - Dec 2004

Fingerprint

Sweep
Diffusion equation
Explicit Methods
Decomposition Method
Decomposition
Decompose
Iterative methods
Two-step Method
Finite Difference
Iteration
Formulation

Keywords

  • Diffusion equation
  • Full-, half- and quarter-sweeps iterative alternating decomposition explicit methods
  • Performance evaluation

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations. / Sulaiman, J.; Othman, M.; Hasan, Mohammad Khatim.

In: International Journal of Computer Mathematics, Vol. 81, No. 12, 12.2004, p. 1559-1565.

Research output: Contribution to journalArticle

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