Email this article Invariant difference schemes for the Ermakov system
- Authors: Dorodnitsyn V.A.1,2, Kaptsov E.I.1,2
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Affiliations:
- Keldysh Institute of Applied Mathematics
- “Magnit”
- Issue: Vol 52, No 7 (2016)
- Pages: 926-941
- Section: Numerical Methods
- URL: https://journals.rcsi.science/0012-2661/article/view/153932
- DOI: https://doi.org/10.1134/S0012266116070119
- ID: 153932
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Abstract
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.
About the authors
V. A. Dorodnitsyn
Keldysh Institute of Applied Mathematics; “Magnit”
Author for correspondence.
Email: dorod2007@gmail.com
Russian Federation, Moscow; Krasnodar
E. I. Kaptsov
Keldysh Institute of Applied Mathematics; “Magnit”
Email: dorod2007@gmail.com
Russian Federation, Moscow; Krasnodar
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