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Implementation of parallel three-point block codes for solving large systems of ordinary differential equations.


Citation

Abdul Majid, Zanariah and Suleiman, Mohamed (2010) Implementation of parallel three-point block codes for solving large systems of ordinary differential equations. International Journal of Computer Mathematics , 87 (6). pp. 1415-1429. ISSN 0020-7160

Abstract

The three-point fully implicit block methods are developed for solving large systems of ordinary differential equations using variable step size on a parallel shared memory computer. The methods calculate the numerical solution at three points simultaneously and are suitable for parallelization across the method. The methods are in a simple form as Adams Moulton method with the specific aim of gaining efficiency. For large problems, the parallel implementation produced a good speed-up with respect to the sequential timing and hence better efficiency for the methods developed.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1080/00207160802380900
Publisher: Taylor & Francis
Keywords: Numerical method; Parallel method; Block method; Three-point block.
Depositing User: Najwani Amir Sariffudin
Date Deposited: 08 Nov 2013 07:15
Last Modified: 29 Oct 2015 08:18
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1080/00207160802380900
URI: http://psasir.upm.edu.my/id/eprint/15124
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