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Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations


Citation

Ibrahim, Zarina Bibi and Mohd Nasir, Nor Ain Azeany and Othman, Khairil Iskandar and Suleiman, Mohamed (2012) Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 102-109).

Abstract

Parallel implementation of fourth order Block Backward Differentiation Formulas (BBDF(4)) is presented for a numerical solution of first order stiff ordinary differential equations (ODEs). This method computes the numerical solution at two points concurrently in each block. The sequential and parallel codes are developed on Message Passing Interface (MPI) library and run on High Performance Computing (HPC). The performance of this new method is measured in terms of Speedup (Sp) and Efficiency (Ef). It is shown that the parallel implementation BBDF(4) produced a better speed up compared to the sequential timing.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4801110
Publisher: AIP Publishing LLC
Keywords: Block backward differentiation formula; Parallel; Stiff
Depositing User: Nabilah Mustapa
Date Deposited: 27 Sep 2017 09:15
Last Modified: 27 Sep 2017 09:15
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4801110
URI: http://psasir.upm.edu.my/id/eprint/57406
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