年間 18 号発行
ISSN 印刷: 1064-2285
ISSN オンライン: 2162-6561
Indexed in
INTEGRAL METHOD OF BOUNDARY CHARACTERISTICS: THE DIRICHLET CONDITION. ANALYSIS
要約
Results of a numerical analysis of the integral method of boundary characteristics (IMBCh) formulated in the generalized system of coordinates with the Dirichlet condition are presented. It is shown by the example of a number of test problems that, as regards the accuracy and convergence of approximate solutions, this method exceeds by an order or several orders of magnitude the known methods based on the consideration of the disturbance front. An analysis of the accuracy of approximation and convergence of solutions showed that the solutions constructed be means of this method are exact, since an error for a wide range of values of the problem parameters amounts to hundreds-tens of thousands percent.
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Kot V. A., Solution of the Classical Stefan Problem: Neumann Condition, Journal of Engineering Physics and Thermophysics, 90, 4, 2017. Crossref
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Kot V A, Integral methods of solving boundary-value problems of nonstationary heat conduction and their comparative analysis, Journal of Physics: Conference Series, 891, 2017. Crossref
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Kot V A, High-accuracy polynomial solutions of the classical Stefan problem, Journal of Physics: Conference Series, 899, 2017. Crossref
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Kot V. A., INTEGRAL METHOD OF SOLVING HEAT-CONDUCTION PROBLEMS WITH THE SECOND-KIND BOUNDARY CONDITION. 1. BASIC STATEMENTS, Proceedings of the National Academy of Sciences of Belarus, Physical-Technical Series, 63, 2, 2018. Crossref
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Kot V. A., Integral method of solving heat-conduction problems with boundary condition of the second-kind. 2. Analysis of accuracy, Proceedings of the National Academy of Sciences of Belarus, Physical-Technical Series, 63, 3, 2018. Crossref
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Kot V. A., Parabolic Profile in Heat-Conduction Problems. 2. Semi-Bounded Space with a Time-Varying Surface Temperature, Journal of Engineering Physics and Thermophysics, 92, 2, 2019. Crossref