Linear differential algebraic equations with constant coefficients

Authors

  • M Sahadet Hossain Department of Mathematics, Chemnitz University of Technology, Germany
  • M Mostafizur Rahman Department of Information Engineering and Science, University of Trento, Trento, Italy

DOI:

https://doi.org/10.3329/diujst.v4i2.4365

Keywords:

differential-algebraic equations, index concept, canonical forms

Abstract

Differential-algebraic equations (DAEs) arise in a variety of applications. Their analysis and numerical treatment, therefore, plays an important role in modern mathematics. The paper gives an introduction to the topics of DAEs. Examples of DAEs are considered showing their importance for practical problems. Some essential concepts that are really essential for understanding the DAE systems are introduced. The canonical forms of DAEs are discussed widely to make them more efficient and easy for practical use. Also some numerical examples are discussed to clarify the existence and uniqueness of the system's solutions.

Keywords: differential-algebraic equations, index concept, canonical forms.

DOI: 10.3329/diujst.v4i2.4365

Daffodil International University Journal of Science and Technology Vol.4(2) 2009 pp.28-35

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Author Biographies

M Sahadet Hossain, Department of Mathematics, Chemnitz University of Technology, Germany

M. Sahadet Hossain is a Ph.D candidate of the Dept. of Mathematics, TU Chemnitz, Germany. He obtained his Bachelor and Masters in Mathematics from University of Dhaka, Bangladesh. His research interest is control theory. Now he is working on model reduction of linear timevarying descriptor systems.

M Mostafizur Rahman, Department of Information Engineering and Science, University of Trento, Trento, Italy

M. Mostafizur Rahman is doing masters in11 computer science in University of Trento, Italy. He has obtained his Bachelor and Masters in Mathematics from University of Dhaka, Bangladesh. His research interest is BioMathematics. Now he is working on mathematical model of biological components.  

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How to Cite

Hossain, M. S., & Rahman, M. M. (2010). Linear differential algebraic equations with constant coefficients. Daffodil International University Journal of Science and Technology, 4(2), 28–35. https://doi.org/10.3329/diujst.v4i2.4365

Issue

Vol. 4 No. 2 (2009)

Section

Papers

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