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·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X
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The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to:
Random dynamical systems
Geometry and physics
Dynamical systems with hyperbolic behaviour
Real and complex geometry
Ergodic theory
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Infinite-dimensional Hamiltonian systems
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The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Chief Editor’s discretion.
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The Differential Transform Method for the Numerical Treatment of Differential-Algebraic Equations with Index 2
Basem Attilib.attili@sharjah.ac.aeUniversity of Sharjah, Mathematics DepartmentSharjah, P. O. Box 27272View full profile →
, Ikram TabashUnited Arab Emirates University, Mathematical Sciences DepartmentAl-Ain, P. O. Box 17551, United Arab EmiratesView full profile →
, Maitha DhaheriUnited Arab Emirates University, Mathematical Sciences DepartmentAl-Ain, P. O. Box 17551, United Arab EmiratesView full profile →
, Shaima SalhiUnited Arab Emirates University, Mathematical Sciences DepartmentAl-Ain, P. O. Box 17551, United Arab EmiratesView full profile →
, Shereen HassanUnited Arab Emirates University, Mathematical Sciences DepartmentAl-Ain, P. O. Box 17551, United Arab EmiratesView full profile →
* Corresponding author · click or hover a name for details
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.
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