Comparative analysis of the numerical methods for 3D continuation problem for parabolic equation with data on the part of the boundary

Aleksei Prikhodko; Maxim Shishlenin

doi:10.1088/1742-6596/2092/1/012010

Comparative analysis of the numerical methods for 3D continuation problem for parabolic equation with data on the part of the boundary

Результат исследования: Научные публикации в периодических изданиях › статья по материалам конференции › рецензирование

Аннотация

The problem of continuation of the solution of a three-dimensional parabolic equation with data given on a time-like surface is investigated. Two numerical methods for solving the continuation problem are compared: the finite-difference scheme inversion and the solution of inverse problem by gradient method. The functional gradient formula is obtained. The results of numerical calculations are presented.

Язык оригинала	английский
Номер статьи	012010
Журнал	Journal of Physics: Conference Series
Том	2092
Номер выпуска	1
DOI	https://doi.org/10.1088/1742-6596/2092/1/012010
Состояние	Опубликовано - 20 дек. 2021
Событие	11th International Scientific Conference and Young Scientist School on Theory and Computational Methods for Inverse and Ill-posed Problems - Novosibirsk, Российская Федерация Продолжительность: 26 авг. 2019 → 4 сент. 2019

Предметные области OECD FOS+WOS

1.03 ФИЗИЧЕСКИЕ НАУКИ И АСТРОНОМИЯ

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10.1088/1742-6596/2092/1/012010

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Comparative analysis of the numerical methods for 3D continuation problem for parabolic equation with data on the part of the boundary. / Prikhodko, Aleksei ; Shishlenin, Maxim.

В: Journal of Physics: Conference Series, Том 2092, № 1, 012010, 20.12.2021.

Результат исследования: Научные публикации в периодических изданиях › статья по материалам конференции › рецензирование

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AB - The problem of continuation of the solution of a three-dimensional parabolic equation with data given on a time-like surface is investigated. Two numerical methods for solving the continuation problem are compared: the finite-difference scheme inversion and the solution of inverse problem by gradient method. The functional gradient formula is obtained. The results of numerical calculations are presented.

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