Study of numerical and analytical solutions of a generalized boundary value problem for the heat conduction equation
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Date
2024
Authors
Drin, Iryna
Drin, Svitlana
Drin, Yaroslav
Lutskiv, Mykhailo
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Abstract
The 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.
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Keywords
heat conduction equation, boundary value problem, finite difference method, adjusting grid parameters, conference abstracts
Citation
Study 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.