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

J. Sulaiman, Mohammad Khatim Hasan, M. Othman, Z. Yaacob

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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.

Original languageEnglish
Title of host publicationProceedings of the 2009 International Conference on Electrical Engineering and Informatics, ICEEI 2009
Pages194-198
Number of pages5
Volume1
DOIs
Publication statusPublished - 2009
Event2009 International Conference on Electrical Engineering and Informatics, ICEEI 2009 - Selangor
Duration: 5 Aug 20097 Aug 2009

Other

Other2009 International Conference on Electrical Engineering and Informatics, ICEEI 2009
CitySelangor
Period5/8/097/8/09

Fingerprint

Iterative methods

Keywords

  • Fourth-order parabolic equation
  • Implicit scheme
  • Quarter-sweep iteration
  • Weighted mean scheme

ASJC Scopus subject areas

  • Information Systems
  • Software
  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

Cite this

Sulaiman, J., Hasan, M. K., Othman, M., & Yaacob, Z. (2009). Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations. In Proceedings of the 2009 International Conference on Electrical Engineering and Informatics, ICEEI 2009 (Vol. 1, pp. 194-198). [5254791] https://doi.org/10.1109/ICEEI.2009.5254791

Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations. / Sulaiman, J.; Hasan, Mohammad Khatim; Othman, M.; Yaacob, Z.

Proceedings of the 2009 International Conference on Electrical Engineering and Informatics, ICEEI 2009. Vol. 1 2009. p. 194-198 5254791.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Sulaiman, J, Hasan, MK, Othman, M & Yaacob, Z 2009, Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations. in Proceedings of the 2009 International Conference on Electrical Engineering and Informatics, ICEEI 2009. vol. 1, 5254791, pp. 194-198, 2009 International Conference on Electrical Engineering and Informatics, ICEEI 2009, Selangor, 5/8/09. https://doi.org/10.1109/ICEEI.2009.5254791
Sulaiman J, Hasan MK, Othman M, Yaacob Z. Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations. In Proceedings of the 2009 International Conference on Electrical Engineering and Informatics, ICEEI 2009. Vol. 1. 2009. p. 194-198. 5254791 https://doi.org/10.1109/ICEEI.2009.5254791
Sulaiman, J. ; Hasan, Mohammad Khatim ; Othman, M. ; Yaacob, Z. / Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations. Proceedings of the 2009 International Conference on Electrical Engineering and Informatics, ICEEI 2009. Vol. 1 2009. pp. 194-198
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