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Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations


Citation

Mahayadin, Mahfuzah and Othman, Khairil Iskandar and Ibrahim, Zarina Bibi (2016) Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations. In: 4th International Conference on Mathematical Sciences (ICMS4), 15-17 Nov. 2016, Putrajaya, Malaysia. (pp. 1-8).

Abstract

Intervalwise partitioning is a strategy to solve stiff ordinary differential equations (ODEs). This strategy using on 3-point block method will initially starts solving ODE using Adams method, and switch the system to Backward Differentiation Formula (BDF) when there is an indication of stiffness. Indication of stiffness will be based on hacc > hiter and the trace of the Jacobian. The comparison with existing method reveals that this partitioning strategy can be an alternative method to solve stiff ODEs.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1063/1.4980873
Publisher: AIP Publishing
Keywords: Intervalwise partitioning; 3-point block method; Stiff ordinary differential equations
Depositing User: Nabilah Mustapa
Date Deposited: 24 Oct 2017 07:37
Last Modified: 24 Oct 2017 07:37
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4980873
URI: http://psasir.upm.edu.my/id/eprint/57605
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