MATHEMATICAL MODELING AND ANALYSIS OF TEMPERATURE CONTROL PROCESSES IN SMART HOME SYSTEMS

Авторы

  • Ulug'bek Suyarov Farg'ona davlat universiteti Автор
  • Shuxratjon Axmadaliyev Fergana State University Applied Mathematics Department 3rd year student Автор https://orcid.org/0009-0009-2478-5571
  • Siyovushxo‘ja Sobirjonov Fergana State University Applied Mathematics Department 3rd year student Автор

Аннотация

This paper examines the problem of real-time mathematical modeling of indoor temperature distribution in smart home systems. The study is based on the heat diffusion equation  from mathematical physics, implemented via HTML5, CSS3, and JavaScript on a 30×50 discrete grid using the Explicit Euler numerical method. Physical realism is ensured by radiator, window, and door boundary conditions, stochastic noise effects, and a multi-stage color gradient visualization.

Биографии авторов

  • Shuxratjon Axmadaliyev, Fergana State University Applied Mathematics Department 3rd year student

    Fergana State University Applied Mathematics Department 3rd year student

  • Siyovushxo‘ja Sobirjonov, Fergana State University Applied Mathematics Department 3rd year student

    Sobirjonov Siyovushxo‘ja Fergana State

    University Applied Mathematics Department

    3rd year student

Загрузки

Опубликован

2026-09-29

Выпуск

Том 1 № 8 (2026): НАУЧНЫЕ ИССЛЕДОВАНИЯ, ИННОВАЦИИ И СОВРЕМЕННЫЕ ПОДХОДЫ

Раздел

Articles