On One method for the numerical solution of a system of parabolic equations
- Autores: 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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Afiliações:
- St. Petersburg State University
- All-Russia Research Institute of Plant Protection
- Peter the Great St. Petersburg Polytechnic University
- Edição: Volume 49, Nº 2 (2016)
- Páginas: 138-146
- Seção: Mathematics
- URL: https://journals.rcsi.science/1063-4541/article/view/185488
- DOI: https://doi.org/10.3103/S1063454116020138
- ID: 185488
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Resumo
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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Sobre autores
N. Semenova
St. Petersburg State University; All-Russia Research Institute of Plant Protection
Autor responsável pela correspondência
Email: nnsemenova@yandex.ru
Rússia, 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
Rússia, Politekhnicheskaya ul. 29, St. Petersburg, 195251
G. Suhoruchenko
All-Russia Research Institute of Plant Protection
Email: nnsemenova@yandex.ru
Rússia, shosse Podbel’skogo 3, Pushkin, St. Petersburg, 196608
E. Orlova
St. Petersburg State University
Email: nnsemenova@yandex.ru
Rússia, Universitetskaya nab. 7–9, St. Petersburg, 199034
N. Orlova
St. Petersburg State University
Email: nnsemenova@yandex.ru
Rússia, Universitetskaya nab. 7–9, St. Petersburg, 199034
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