Kalinichenko, A.Sidorov, M.2024-06-192024-06-192023Kalinichenko 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.https://openarchive.nure.ua/handle/document/27103This 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.enGreen's functionHammerstein equationRothe's methodself-ignition processesspontaneous ignition processestwo-dimensional semilinear heat conduction equationtwo-sided approximation methodThesis