Numerical solution of differential algebraic equations (DAEs) by mix-multistep method

Citation

Rahim, Yong Faezah and Suleiman, Mohamed and Ibrahim, Zarina Bibi (2013) Numerical solution of differential algebraic equations (DAEs) by mix-multistep method. In: 3rd International Conference on Mathematical Sciences (ICMS3), 17-19 Dec. 2013, Kuala Lumpur, Malaysia. (pp. 170-178).

Abstract

Differential Algebraic Equations (DAEs) are regarded as stiff Ordinary Differential Equations (ODEs). Therefore they are solved using implicit method such as Backward Differentiation Formula (BDF) type of methods which require the use of Newton iteration which need much computational effort. However, not all of the ODEs in DAE system are stiff. In this paper, we describe a new technique for solving DAE, where the ODEs are treated as non-stiff at the start of the integration and putting the non-stiff ODEs into stiff subsystem should instability occurs. Adams type of method is used to solve the non-stiff part and BDF method for solving the stiff part. This strategy is shown to be competitive in terms of computational effort and accuracy. Numerical experiments are presented to validate its efficiency.

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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/10.1063/1.4882484
Publisher:	AIP Publishing LLC
Keywords:	Differential algebraic equations; Partitioning
Depositing User:	Nabilah Mustapa
Date Deposited:	26 Sep 2017 04:04
Last Modified:	26 Sep 2017 04:04
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4882484
URI:	http://psasir.upm.edu.my/id/eprint/57328
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