Two spline methods for solution of the initial problem in differential algebraic equations are considered. The first method is the method of variational splines applicable to non-linear systems of ordinary differential equations with an arbitrarily singular Jacobean with respect to derivatives. The second method is the variational method of spline-collocation, which does not have enough collocation conditions for defining the spline, and the problem of spline construction is made well posed with the help of an extra condition for minimization of the spline norm in corresponding spaces. Results of numerical experiments on model examples are given
Author(s):
Bulatov Mikhail ValerjanovichDr.
Position: General Scientist
Address: 664033, Russia, Irkutsk
Phone Office: (3952) 51 15 08
E-mail: mvbul@icc.ru
Gorbunov Vladimir KonstantinovDr. , Professor
Position: Head of Chair
Address: Russia, Ylyanovsk, Irkutsk
Phone Office: (8442) 42 61 03
E-mail: vkgorbunov@mail.ru
Martynenko Juliya VyacheslavovnaPhD.
Position: Senior Fellow
Address: Russia, Ylyanovsk, Irkutsk
Phone Office: (8442) 42 61 03
E-mail: marj2005@yandex.ru
Nguyen Dinh CongPhD.
Office: Institute of Mathematics VAST
Address: Vietnam, Hanoi, Irkutsk
E-mail: ndcong@math.ac.vn
