This article is cited in 4 papers

Mathematical Modeling

Generalization of coarse-grained models with introduction of three-dimensional space

M. N. Nazarov

Dept. of Higher Mathematics - 1, National Research University of Electronic Technology, Zelenograd, Moscow

Abstract: As a candidate for generalization in the scope of this work we consider any model derived from a system of first order ordinary differential equations for quantities of abstract bulk objects. The main objective of this work is to construct a universal scheme for generalization of such models with introduction of three-dimensional space and regard for migration of objects without switching to partial derivatives.

Keywords: mathematical modeling, ordinary differential equations, model space generalization.

UDC: 519.673

MSC: Primary 68W15; Secondary 70G99, 34A99

Original article submitted 06/XI/2010
revision submitted – 15/VII/2011

DOI: 10.14498/vsgtu842

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