Comparative Analysis of Mathematical Modeling Tool Environments

Abstract: This paper presents an extended comparative analysis of mod-ern software tools designed for modeling various processes and systems in a wide range of fields – from physics, chemistry and mathematics to electrical engineering and control systems. Both commercial and open-source software platforms are considered, including COMSOL Multiphysics, Ansys Fluent, MatLab/Simulink, OpenFOAM, DWSIM, LTspice, and others. Special attention is paid to the classification of modeling sys-tems by application, type of licensing, level of abstraction, and modeling paradigms used. The article provides a detailed exam-ination of the features and architecture of two Russian modeling systems – MARS and SimInTech, their functionality, integra-tion solutions, licensing, documentation and areas of applica-tion. A comparative analysis of these domestic solutions with foreign analogues has been performed, highlighting their ad-vantages, disadvantages and potential application niches. Key trends in the development of modeling tools are also discussed, including the growing importance of open-source software, the development of digital twins, integration with AI and cloud platforms, as well as standardization through initiatives such as Modelica, FMI and CAPE-OPEN. This work is of interest to researchers and engineers, as well as to teachers and students in technical fields.

Keywords: electrical systems modeling, modeling of mathematical systems, instrumental tools, physical processes modeling, dynamic modeling, computer modeling, simulation, modeling systems