journal-of-dynamical-systems-and-geometric-theories Journal of Dynamical Systems and Geometric Theories 2169-0057 1726-037X Taru Publications 10.1080/1726037X.2008.10698544 Numerical Treatment of Differential-Algebraic Equations with Index 2 by Reducing the Index Attili Basem University of Sharjah, Mathematics Department, Sharjah, P. O. Box 27272 Abu-Hatab Alaa Mathematical Sciences Department Al-Ain, United Arab Emirates University, P. O. Box 17551, United Arab Emirates Ayoub Aseel Mathematical Sciences Department Al-Ain, United Arab Emirates University, P. O. Box 17551, United Arab Emirates Ismail Ayat Mathematical Sciences Department Al-Ain, United Arab Emirates University, P. O. Box 17551, United Arab Emirates Abu-Ghneim Shefa Mathematical Sciences Department Al-Ain, United Arab Emirates University, P. O. Box 17551, United Arab Emirates 6 1 49 60 03 06 2013

We will consider the solution of Hessenberg index-2 differential algebraic equations(DAE) numerically. We first introduce a method to reduce the index from 2 to index 1 resulting in an easier problem to solve. For the numerical treatment, we will use power series solutions coupled with pade’ approximation for better convergence results. Numerical examples will be presented also.

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