Numerical Method for Stabilizing Solutions of the Wentzell Stochastic Dynamical System in a Circle and on Its Border
Year: 2026
Type: article
Abstract: The paper considers the problem of numerical investigation of the stabilization processes of solutions of the deterministic and stochastic system of Wentzell equations. A feature of the model under study is the presence of dynamic Wentzell boundary conditions, which describe the interconnected filtration of processes in the internal domain and on its boundary. To solve the problem, it is proposed to use a numerical approach based on the exponential stability and instability of solutions of the deterministic system of Wentzell equations under different signs of the parameters describing the medium and the properties of the fluid. In the case of unstable solutions, the stabilization problem is solved based on a feedback loop. Then, the obtained results are extended to the stochastic system of Wentzell equations. In particular, the paper presents computational experiment demonstrating the effectiveness of the proposed method in modeling stabilization processes in a bounded domain.
DOI: 10.14529/mmph260302
Authors: N.S. Goncharov, O.G. Kitaeva, G.A. Sviridyuk
Institution: South Ural State University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7204533775