Mathematical modeling of the energy consumption problem
Энергияны тұтыну мәселелерiн математикалық модельдеу
Математическое моделирование проблемы энергопотребления
Ashyralyev A. Urun M. Parmaksizoglu I.C.
2022E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2022#105Issue 113 - 24 pp.
The importance of energy-saving and correct design is obvious for energy efficiency. Correct design means that before construction considerable things, such as orientation or isolation decisions, need to be made. This study gives a mathematical model of the nonstationary energy consumption calculation problems. The model is well-posedness in Holder spaces of the mixed one-dimensional parabolic problem with Robin boundary conditions. In this study, an effective numerical method is also developed for energy consumption calculation which is related to this mathematical model. The three case problems are taken to test this numerical method. The dynamic model results have been compared with the previous finite-difference or steady-state solutions. The study also aims to develop a mathematical model in which the result can be found at any time.
difference scheme , heat diffusion equation , mathematical modeling , stability
Text of the article Перейти на текст статьи
Bahcesehir University, Istanbul, Turkey
Peoples Friendship University of Russia (RUDN University), Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Near East University, Nicosia, Turkey
Galatasaray University, Istanbul, Turkey
Istanbul Technical University, Turkey
Bahcesehir University
Peoples Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling
Near East University
Galatasaray University
Istanbul Technical University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026