Study of numerical and analytical solutions of a generalized boundary value problem for the heat conduction equation

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dc.contributor.authorDrin, Irynaen_US
dc.contributor.authorDrin, Svitlanaen_US
dc.contributor.authorDrin, Yaroslaven_US
dc.contributor.authorLutskiv, Mykhailoen_US
dc.date.accessioned2025-01-29T09:46:42Z
dc.date.available2025-01-29T09:46:42Z
dc.date.issued2024
dc.description.abstractThe 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.en_US
dc.identifier.citationStudy 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.en_US
dc.identifier.isbn978-617-555-228-5
dc.identifier.urihttps://ekmair.ukma.edu.ua/handle/123456789/33365
dc.language.isoenen_US
dc.relation.sourceXХXIX International Conference "Problems of decision making under uncertainties" (PDMU-2024), Brno, Czech Republic, September 9-10, 2024 : abstractsen_US
dc.statusfirst publisheden_US
dc.subjectheat conduction equationen_US
dc.subjectboundary value problemen_US
dc.subjectfinite difference methoden_US
dc.subjectadjusting grid parametersen_US
dc.subjectconference abstractsen_US
dc.titleStudy of numerical and analytical solutions of a generalized boundary value problem for the heat conduction equationen_US
dc.typeConference materialsen_US
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