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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 1871590, 10 pages
https://doi.org/10.1155/2017/1871590
Research Article

Numerical Methods for a Class of Differential Algebraic Equations

Department of Mathematics, Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, East China Normal University, Shanghai 200241, China

Correspondence should be addressed to Lei Ren; moc.361@tsopielner

Received 28 November 2016; Accepted 11 April 2017; Published 8 June 2017

Academic Editor: Fazal M. Mahomed

Copyright © 2017 Lei Ren and Yuan-Ming Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.