M. V. Bulatov, N. P. Rahvalov, T. D. Phuong, “Numerical solution boundary problem for linear differential-algebraic equations of second order”, Zhurnal SVMO, 2010, Volume 12, Number 1,Pages <nobr>52

In Middle Volga Mathematical Society

Numerical solution boundary problem for linear differential-algebraic equations of second order

M. V. Bulatov^a, N. P. Rahvalov^b, T. D. Phuong^c

^a Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
^b East Siberian State Academy of Education
^c Vietnam Academy of Science and Technology

Abstract: In this paper the numerical methods of solution of boundary-value problem for differential-algebraic equations of the second order are considered.We found conditions fulfillment of which ensures stability and convergence to exact solution of proposed algorithms. The results of numerical calculations are given.

Keywords: Linear differential-algebraic systems, matrix polynomial, boundary-value problem, matrix sweep method.

UDC: 517.9