Open Access
Original Articles
The Differential Transform Method for the Numerical Treatment of Differential-Algebraic Equations with Index 2
Basem Attilib.attili@sharjah.ac.aeUniversity of SharjahMathematics Department, Sharjah, P. O. Box 27272View full profile → , Ikram TabashUnited Arab Emirates UniversityMathematical Sciences Department, Al-Ain, P. O. Box 17551, United Arab EmiratesView full profile → , Maitha DhaheriUnited Arab Emirates UniversityMathematical Sciences Department, Al-Ain, P. O. Box 17551, United Arab EmiratesView full profile → , Shaima SalhiUnited Arab Emirates UniversityMathematical Sciences Department, Al-Ain, P. O. Box 17551, United Arab EmiratesView full profile → , Shereen HassanUnited Arab Emirates UniversityMathematical Sciences Department, Al-Ain, P. O. Box 17551, United Arab EmiratesView full profile →
* Corresponding author · click or hover a name for details
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2009.10698570
- Pages:
- 147–159
Abstract
We will consider the numerical solution of the Hessenberg linear index-2 differential algebraic equations (DAE’s) using the differential transform method. We will first present a method to reduce the index of the DAE to index-1. This results in a problem easier to solve. Numerical examples in addition to the comparison with the work of others will also be presented to show the efficiency of the method.
Keywords
References
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