On One method for the numerical solution of a system of parabolic equations


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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.

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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