Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations

Citation

Othman, Khairil Iskandar and Ibrahim, Zarina Bibi (2012) Componentwise block partitioning: a new strategy to solve stiff ordinary differential equations. In: 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA 2012), 10-14 July 2012, Vienna, Austria. (pp. 724-726).

Abstract

Componentwise Block Partitioning is a new strategy to solve stiff ODEs, based on Block Backward Differentiation Formulas (BBDFs), and block of Adam type formulas. In this partitioning technique, the ODEs system is initially solved by Adam formulas until the equation that cause instability and stiffness is identified. Then, the equations that caused instability are placed into stiff subsystem and solved using BBDF. Numerical comparisons with code in the literature such as ode15s show the efficiency of the proposed partitioning technique.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1063/1.4765567
Publisher:	American Institute of Physics
Keywords:	Adam; Block backward differentiation; Componentwise block partitioning; Stiff
Depositing User:	Nabilah Mustapa
Date Deposited:	29 Sep 2017 02:26
Last Modified:	29 Sep 2017 02:26
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4765567
URI:	http://psasir.upm.edu.my/id/eprint/57507
Statistic Details:	View Download Statistic

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