Отправить статью по E-mail On One method for the numerical solution of a system of parabolic equations
- Авторы: Semenova N.N.1,2, Terleev V.V.3, Suhoruchenko G.I.2, Orlova E.E.1, Orlova N.E.1
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Учреждения:
- St. Petersburg State University
- All-Russia Research Institute of Plant Protection
- Peter the Great St. Petersburg Polytechnic University
- Выпуск: Том 49, № 2 (2016)
- Страницы: 138-146
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1063-4541/article/view/185488
- DOI: https://doi.org/10.3103/S1063454116020138
- ID: 185488
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Аннотация
An algorithm for the numerical solution of a system of two parabolic equations of a special form has been presented, and its stability has been proved. Estimates of the numerical solutions obtained have been made. Conditions guaranteeing the applicability of the sweep method are determined, and the time step at which the iterative method has the inner convergence has been estimated. An example of the application of the algorithm in soil science has been presented.
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N. Semenova
St. Petersburg State University; All-Russia Research Institute of Plant Protection
Автор, ответственный за переписку.
Email: nnsemenova@yandex.ru
Россия, Universitetskaya nab. 7–9, St. Petersburg, 199034; shosse Podbel’skogo 3, Pushkin, St. Petersburg, 196608
V. Terleev
Peter the Great St. Petersburg Polytechnic University
Email: nnsemenova@yandex.ru
Россия, Politekhnicheskaya ul. 29, St. Petersburg, 195251
G. Suhoruchenko
All-Russia Research Institute of Plant Protection
Email: nnsemenova@yandex.ru
Россия, shosse Podbel’skogo 3, Pushkin, St. Petersburg, 196608
E. Orlova
St. Petersburg State University
Email: nnsemenova@yandex.ru
Россия, Universitetskaya nab. 7–9, St. Petersburg, 199034
N. Orlova
St. Petersburg State University
Email: nnsemenova@yandex.ru
Россия, Universitetskaya nab. 7–9, St. Petersburg, 199034
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