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2019, no. 3

NUMERICALLY ANALYTICAL METHODS FOR MATHEMATICAL MODELING OF NONLINEAR DYNAMIC SYSTEMS IN CAS MAPLE. IV. TESTING PACKAGE ON ACCURACY AND SPEED OF CALCULATIONS

Ignatev Yu.G., Samigullina A.R.

The tools for automatic visualization of numerical solutions of systems of nonlinear ordinary differential equations and averaging of numerical solutions on the basis of the authors application package of DifEqTools programs are described, and examples of application of these tools to the study of nonlinear problems in mechanics and cosmology are given.

Keywords: nonlinear dynamical systems, mathematical modeling, qualitative theory of differential equations, spline approximation, numerical integration methods, computational visualization, nonlinear mechanics, cosmology, applied mathematical packages.

UDC: 5530.12+531.51+517.944+519.713+514.774+519.711.3+551.5.001.57+517.957

PACS: 04.20.Cv, 98.80.Cq, 96.50.S, 52.27.Ny, 02.60.Cb, 07.05.Tp, 04.25.-g

DOI: 10.17238/issn2226-8812.2019.3.45-68

Please cite this article in English as:
Ignatev Yu.G., Samigullina A.R. Numericallyanalytical methods for mathematical modeling of nonlinear dynamic systems in CAS Maple. IV. Testing package on accuracy and speed of calculations. Space, Time and Fundamental Interactions, 2019, no. 3, pp. 45-68.