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Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations


Citation

Sulaiman, Jumat and Hasan, Mohammad Khatim and Othman, Mohamed and Yaacob, Zaihar (2009) Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations. In: 2009 International Conference on Electrical Engineering and Informatics, 5-7 Aug. 2009, Selangor, Malaysia. (pp. 194-198).

Abstract

The main purpose of this paper is to investigate the effectiveness of the Quarter-Sweep Arithmetic Mean (QSAM) iterative method by using the implicit finite difference approximation in order to solve fourth-order parabolic equations. The basic idea and the formulation of this method are also presented. In fact, implementations of Full-Sweep, Half-Sweep, and Quarter-Sweep Arithmetic Mean methods, namely FSAM, HSAM and QSAM respectively are also shown. Finally, through numerical results obtained, it has shown that the QSAM iterative method is superior as compared with the FSAM and HSAM methods.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Computer Science and Information Technology
DOI Number: https://doi.org/10.1109/ICEEI.2009.5254791
Publisher: IEEE
Keywords: Quarter-sweep iteration; Weighted mean scheme; Implicit scheme; Fourth-order parabolic equation
Depositing User: Nabilah Mustapa
Date Deposited: 04 Jul 2019 05:02
Last Modified: 04 Jul 2019 05:02
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1109/ICEEI.2009.5254791
URI: http://psasir.upm.edu.my/id/eprint/69598
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