Numerical methods of solution of boundary-value problem for differential-algebraic equations of the second order
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 4, pp. 2-11
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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 equations, boundary-value problem, matrix sweep method.
Mots-clés : matrix polynomial
Mots-clés : matrix polynomial
@article{IIGUM_2011_4_4_a0,
author = {M. V. Bulatov and N. P. Rakhvalov and Ta Duy Phuong},
title = {Numerical methods of solution of boundary-value problem for differential-algebraic equations of the second order},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {2--11},
publisher = {mathdoc},
volume = {4},
number = {4},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2011_4_4_a0/}
}
TY - JOUR AU - M. V. Bulatov AU - N. P. Rakhvalov AU - Ta Duy Phuong TI - Numerical methods of solution of boundary-value problem for differential-algebraic equations of the second order JO - The Bulletin of Irkutsk State University. Series Mathematics PY - 2011 SP - 2 EP - 11 VL - 4 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IIGUM_2011_4_4_a0/ LA - ru ID - IIGUM_2011_4_4_a0 ER -
%0 Journal Article %A M. V. Bulatov %A N. P. Rakhvalov %A Ta Duy Phuong %T Numerical methods of solution of boundary-value problem for differential-algebraic equations of the second order %J The Bulletin of Irkutsk State University. Series Mathematics %D 2011 %P 2-11 %V 4 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/IIGUM_2011_4_4_a0/ %G ru %F IIGUM_2011_4_4_a0
M. V. Bulatov; N. P. Rakhvalov; Ta Duy Phuong. Numerical methods of solution of boundary-value problem for differential-algebraic equations of the second order. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 4, pp. 2-11. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_4_a0/