Qualitative Analysis of Mathematical Models of Energy Processes Based on the General Theory of Models
Year: 2025
Type: article
Abstract: Theorems of existence and uniqueness of the decision of system of the equations in the private derivatives, representing the generalized mathematical model of processes and devices of preprocessing of crude hydrocarbons are formulated and proved. Generalization gives the chance to apply the principle of unification and typification when developing a method of numerical realization of mathematical models of a class of processes (devices) of preprocessing of crude hydrocarbons, and the proof of the corresponding theorems (an essence – the qualitative analysis) provides a correctness of application of the generalized model in applied problems of mathematical modeling of studied processes (devices). Proofs of the formulated theorems are strict, logically true and are consistently executed within terms of the functional analysis. Practical applicability of theorems of existence and uniqueness of the decision as component of the qualitative analysis, is defined by possibility of research on their basis of adequacy of algorithmic means of mathematical modeling of a studied class of processes (devices).
Authors: Artem Saveliev, Ludmila Prokofieva
Institution: Odesа Polytechnic National University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7083681767
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