Drin, IrynaDrin, SvitlanaDrin, YaroslavLutskiv, Mykhailo2025-01-292025-01-292024Study of numerical and analytical solutions of a generalized boundary value problem for the heat conduction equation / Irina Drin, Svitlana Drin, Yaroslav Drin, Mykhailo Lutskiv // XХXIX International Conference "Problems of decision making under uncertainties" (PDMU-2024), Brno, Czech Republic, September 9-10, 2024 : abstracts / Taras Shevchenko National University of Kyiv (Ukraine), University of Defence, Brno, Czech Republic [et al.]. - Кyiv, 2024. - P. 53-54.978-617-555-228-5https://ekmair.ukma.edu.ua/handle/123456789/33365The computed values of the solution obtained by the finite difference method and the results of the numerical investigation of the analytical solution of this problem match with maximum and average relative errors of +7.03% and ±1.82%, respectively. The graphs of the numerical and analytical solutions coincide over the entire range of investigated time and space values. Further improvements in the accuracy of the numerical solution can be achieved by adjusting grid parameters – reducing spatial step size and increasing the number of computational iterations.enheat conduction equationboundary value problemfinite difference methodadjusting grid parametersconference abstractsConference materials