This article is cited in 2 papers

On nonlinear algebraic differential systems reducible to non-degenerate systems of ordinary differential equations. Theory and numerical methods of solution

Yu. E. Boyarintsev

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences

Abstract: In this paper, we consider algebraic differential systems of the form
$$ \frac{dAx}{dt}=Bx+f(x,t) $$
with a regular pair of matrices $(A,В)$. The conditions of reducibility of such systems to non-degenerate systems of ordinary differential equations (ODE) of first order with respect to the derivative $x'(t)$ are given. Methods for the numerical solution of $x(t)$ are proposed.

Key words: algebraic differential, nonlinear, numerical method of solution.

UDC: 517.518

Received: 09.06.2008
Revised: 17.02.2009

 English version: Numerical Analysis and Applications, 2010, 3:1, 11–16

Bibliographic databases:

•