Email this article On One method for the numerical solution of a system of parabolic equations
- Authors: 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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Affiliations:
- St. Petersburg State University
- All-Russia Research Institute of Plant Protection
- Peter the Great St. Petersburg Polytechnic University
- Issue: Vol 49, No 2 (2016)
- Pages: 138-146
- Section: Mathematics
- URL: https://journal-vniispk.ru/1063-4541/article/view/185488
- DOI: https://doi.org/10.3103/S1063454116020138
- ID: 185488
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Abstract
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.
About the authors
N. N. Semenova
St. Petersburg State University; All-Russia Research Institute of Plant Protection
Author for correspondence.
Email: nnsemenova@yandex.ru
Russian Federation, Universitetskaya nab. 7–9, St. Petersburg, 199034; shosse Podbel’skogo 3, Pushkin, St. Petersburg, 196608
V. V. Terleev
Peter the Great St. Petersburg Polytechnic University
Email: nnsemenova@yandex.ru
Russian Federation, Politekhnicheskaya ul. 29, St. Petersburg, 195251
G. I. Suhoruchenko
All-Russia Research Institute of Plant Protection
Email: nnsemenova@yandex.ru
Russian Federation, shosse Podbel’skogo 3, Pushkin, St. Petersburg, 196608
E. E. Orlova
St. Petersburg State University
Email: nnsemenova@yandex.ru
Russian Federation, Universitetskaya nab. 7–9, St. Petersburg, 199034
N. E. Orlova
St. Petersburg State University
Email: nnsemenova@yandex.ru
Russian Federation, Universitetskaya nab. 7–9, St. Petersburg, 199034
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