Numerical methods for a class of differential algebraic equations
type: Item
instance of: scholarly article
title: Numerical methods for a class of differential algebraic equations
zbMATH Open document ID: 1426.65121
DOI: 10.1155/2017/1871590
author: Lei Ren
author: Yuan-Ming Wang
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: This paper is devoted to the study of some efficient numerical methods for the differential algebraic equations (DAEs). At first, we propose a finite algorithm to compute the Drazin inverse of the time varying DAEs. Numerical experiments are presented by Drazin inverse and Radau IIA method, which illustrate that the precision of the Drazin inverse method is higher than the Radau IIA method. Then, Drazin inverse, Radau IIA, and Padé approximation are applied to the constant coefficient DAEs, respectively. Numerical results demonstrate that the Padé approximation is powerful for solving constant coefficient DAEs.
Mathematics Subject Classification ID: 65L80
zbMATH DE Number: 6971812
Wikidata QID: Q59147328
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/1871590
OpenAlex ID: W2622676049
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description: scientific article; zbMATH DE number 6971812