This article is cited in 3 papers

Applied mathematics

Algorithm of the additional variables method

L. K. Babadzanjanz, K. M. Bregman

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes

Abstract: The algorithm of the additional variables method is proposed. The additional variables method aims to reduce systems of total partial differential equations and, in particular, systems of ordinary differential equations to the form of a system with polynomial right-hand sides.

Keywords: polynomial system, differential equations, total partial differential equations, additional variables.

UDC: 517.9:519.6


Accepted: February 28, 2012