Математичні моделі технологічних процесів нафтопереробки та їх якісний аналіз на основі загальної концепції моделей

• Datum: 2022
• Hauptverfasser: Положаєнко, Сергій, Геращенко, Федір, Прокофьева, Людмила
• Format: Artikel
• Sprache: English
• Veröffentlicht: Kamianets-Podilskyi National Ivan Ohiienko University 2022
• Online Zugang: http://mcm-tech.kpnu.edu.ua/article/view/269443
• Назва журналу: Mathematical and computer modelling. Series: Technical sciences

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)