NUMERICAL METHODS OF SOLUTION OF BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS OF THE SECOND ORDER | Buiaun | Dalat University Journal of Science

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

Mikhail Valeryanovich Buiaun, Nicolai Petrovich Rakhvalov, Tạ Duy Phượng

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.


Keywords


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



DOI: http://dx.doi.org/10.37569/DalatUniversity.2.2.190(2012)

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

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