NUMERICAL METHOD FOR SOLVING BOUNDARY INVERSE PROBLEM FOR ONE–DIMENSIONAL PARABOLIC EQUATION
https://doi.org/10.25587/SVFU.2017.2.9250
Аннотация
We consider a numerical method for solving boundary inverse problem using the implicit difference scheme for approximation by time and finite difference method for the boundary inverse problem. A numerical solution to the boundary inverse problem is determined by special decomposition which transforms the problem into two standard problems. We present the results of numerical experiments, including those with random errors in the input data, which confirm the capabilities of the proposed computational algorithms for solving this boundary inverse problem.
Ключевые слова
Об авторах
V. I. Vasil’evРоссия
Vasily I. Vasil’ev
M. K. Ammosov North-Eastern Federal University, Institute of Mathematics and Informatics, 42, Kulakovsky St., Yakutsk 677000, Russia
Ling-De Su
Россия
Ling-De Su
M. K. Ammosov North-Eastern Federal University, Institute of Mathematics and Informatics, 42, Kulakovsky St., Yakutsk 677000, Russia
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Рецензия
Для цитирования:
Vasil’ev V.I., Su L. NUMERICAL METHOD FOR SOLVING BOUNDARY INVERSE PROBLEM FOR ONE–DIMENSIONAL PARABOLIC EQUATION. Математические заметки СВФУ. 2017;24(2):106-115. https://doi.org/10.25587/SVFU.2017.2.9250
For citation:
Vasil’ev V.I., Su L. NUMERICAL METHOD FOR SOLVING BOUNDARY INVERSE PROBLEM FOR ONE–DIMENSIONAL PARABOLIC EQUATION. Mathematical notes of NEFU. 2017;24(2):106-115. https://doi.org/10.25587/SVFU.2017.2.9250
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