A comparative analysis of numerical methods of solving the continuation problem for 1D parabolic equation with the data given on the part of the boundary Научная публикация
| Журнал |
Advances in Computational Mathematics
ISSN: 1019-7168 , E-ISSN: 1572-9044 |
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| Вых. Данные | Год: 2019, Том: 45, Номер: 2, Страницы: 735-755 Страниц : 21 DOI: 10.1007/s10444-018-9631-7 | ||||||
| Ключевые слова | Continuation problem; Finite-difference scheme inversion; Gradient method; Numerical methods; Parabolic equation; Singular value decomposition | ||||||
| Авторы |
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Реферат:
The ill-posed continuation problem for the one-dimensional parabolic equation with the data given on the part of the boundary is investigated. We prove the uniqueness theorem about the solution of the continuation problem. The finite-difference scheme inversion, the singular value decomposition, and gradient type method are numerically compared. The influence of a noisy data on the solution is presented. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.
Библиографическая ссылка:
Belonosov A.
, Shishlenin M.
, Klyuchinskiy D.
A comparative analysis of numerical methods of solving the continuation problem for 1D parabolic equation with the data given on the part of the boundary
Advances in Computational Mathematics. 2019. V.45. N2. P.735-755. DOI: 10.1007/s10444-018-9631-7 WOS Scopus OpenAlex
A comparative analysis of numerical methods of solving the continuation problem for 1D parabolic equation with the data given on the part of the boundary
Advances in Computational Mathematics. 2019. V.45. N2. P.735-755. DOI: 10.1007/s10444-018-9631-7 WOS Scopus OpenAlex
Идентификаторы БД:
| Web of science: | WOS:000463858000010 |
| Scopus: | 2-s2.0-85053937998 |
| OpenAlex: | W2893137895 |