Invariant difference schemes for the Ermakov system
- Autores: Dorodnitsyn V.A.1,2, Kaptsov E.I.1,2
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Afiliações:
- Keldysh Institute of Applied Mathematics
- “Magnit”
- Edição: Volume 52, Nº 7 (2016)
- Páginas: 926-941
- Seção: Numerical Methods
- URL: https://journal-vniispk.ru/0012-2661/article/view/153932
- DOI: https://doi.org/10.1134/S0012266116070119
- ID: 153932
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Resumo
We construct invariant difference schemes for the parametric system of Ermakov equations. By using a difference analog of the Noether theorem, we write out the first three difference integrals of the system. The obtained schemes are integrable exactly to the same extent to which the original differential system is integrable.
Sobre autores
V. Dorodnitsyn
Keldysh Institute of Applied Mathematics; “Magnit”
Autor responsável pela correspondência
Email: dorod2007@gmail.com
Rússia, Moscow; Krasnodar
E. Kaptsov
Keldysh Institute of Applied Mathematics; “Magnit”
Email: dorod2007@gmail.com
Rússia, Moscow; Krasnodar
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