Systems of difference equations approximating the Lorenz system of differential equations

Zlatanovska, Biljana and Dimovski, Donco (2012) Systems of difference equations approximating the Lorenz system of differential equations. Contributions, Sec. Math. Tech. Sci., XXXIII (1-2). ISSN 0351–3246

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Abstract

In this paper, starting from the Lorenz system of differential equations, some systems of difference equations are produced. Using some regularities in these systems of difference equations, polynomial approximations of their solutions are found. Taking these approximations as coefficients, three power series are obtained and by computer calculations is examined that these power series are local approximations of the solutions of the starting Lorentz system of differential equations.

Item Type: Article
Subjects: Natural sciences > Matematics
Divisions: Faculty of Computer Science
Depositing User: Biljana Zlatanovska
Date Deposited: 29 Nov 2013 13:55
Last Modified: 29 Nov 2013 13:55
URI: http://eprints.ugd.edu.mk/id/eprint/8212

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