Публікація: Modeling of processes of spontaneous ignition using Rothe’s and two-sided approximation methods
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Дата
2023
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Анотація
This work is devoted to the Rothe’s method in combination with the twosided approximation method for the spontaneous ignition processes modeling. Mathematical model of self-ignition processes presented as an 2D initialboundary value problem for a semilinear heat conduction equation. The power of the internal heat source is approximated by exponential dependence, based on the Arrhenius equation.
Опис
Ключові слова
Green's function, Hammerstein equation, Rothe's method, self-ignition processes, spontaneous ignition processes, two-dimensional semilinear heat conduction equation, two-sided approximation method
Бібліографічний опис
Kalinichenko A. Modeling of processes of spontaneous ignition using Rothe’s and two-sided approximation methods / A. Kalinichenko, M. Sidorov // Learning & Teaching : after War and during Peace, 10 November, 2023. – Р. 201.