Computational Mathematics

Information processing in state analysis for stochastic dynamic and evolutionary systems of Wentzell equations

N. S. Goncharov

South Ural State University, Chelyabinsk, Russian Federation

Abstract: The paper studies stochastic dynamical and evolutionary Wentzell systems in the domain and on its boundary. In particular, a structural system analysis of various aspects of the study of Wentzell equation systems is carried out for the above Wentzell equation systems and an algorithm is constructed to process the information obtained from computational experiments and analyze the state of the stochastic dynamic and evolutionary Wentzell system at different values of their parameters.

Keywords: Wentzell's dynamical system, Wentzell's evolutionary system, Wentzell system of equations, information processing, three sigma rule, Nelson – Glicklich derivative.

UDC: 517.9, 519.216.2

MSC: 35G15, 65N30

Received: 30.04.2025

Language: English

DOI: 10.14529/jcem250203