NUMERICAL METHODS OF SOLUTION OF BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS OF THE SECOND ORDER

Authors

  • Mikhail Valeryanovich Buiaun Institute of System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences
  • Nicolai Petrovich Rakhvalov East Siberian State Academy of Education
  • Tạ Duy Phượng Department of Numerical Analysis and Scientific Computing, Institute of Mathematics, Academy of Science and Technology

DOI:

https://doi.org/10.37569/DalatUniversity.2.2.190(2012)

Keywords:

Linear Differential-Algebraic Equations, Boundary-Value Problem, Matrix Polynomials

Abstract

In this paper, some numerical methods for solving differential-algebraic equations of the second order are considered. We give conditions under which the algorithms are stable and converge to the exact solution of the original problem. Numerical examples are given.

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Published

30-06-2012

Volume and Issues

Volume 2, Issue 2 (2012) - [No 3a, Old version]

Section

Natural Sciences and Technology

Copyright & License

Copyright (c) 2012 Mikhail Valeryanovich Buiaun, Nicolai Petrovich Rakhvalov, Tạ Duy Phượng

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Buiaun, M. V., Rakhvalov, N. P., & Phượng, T. D. (2012). NUMERICAL METHODS OF SOLUTION OF BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS OF THE SECOND ORDER. Dalat University Journal of Science, 2(2), 1-7. https://doi.org/10.37569/DalatUniversity.2.2.190(2012)
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