Математична модель узагальненої геометрії фізичного простору в задачах геофізики

Abstract

In the article, conclusion and research of the primary mathematical object of the generalized geometry, named – equation of the Gaussian line are considered. Equation unites the mathematical objects of differential, integral and Euclid geometries. Research of this equation by the numerical methods of small finite elements is examined. The equation’s properties reveal the quality change of the line at consideration of differentinitial conditions, time and space step of discretization. It is set that taking into account the theory of power metamorphism, the generalized law of energy conservation, change, transfer and energy pack, equation of the line model the stochastic motion.