Invariant difference schemes for the Ermakov system
From MaRDI portal
Publication:337863
DOI10.1134/S0012266116070119zbMath1353.65085OpenAlexW2526863399MaRDI QIDQ337863
E. I. Kaptsov, Vladimir Dorodnitsyn
Publication date: 3 November 2016
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266116070119
Geometric methods in ordinary differential equations (34A26) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)
Related Items
Conservative invariant finite‐difference schemes for the modified shallow water equations in Lagrangian coordinates ⋮ Shallow water equations in Lagrangian coordinates: symmetries, conservation laws and its preservation in difference models
Cites Work
- Invariance and first integrals of continuous and discrete Hamiltonian equations
- Multi-component Ermakov systems: Structure and linearization
- Lie group classification of second-order ordinary difference equations
- Ermakov-Ray-Reid Systems in (2+1)-Dimensional Rotating Shallow Water Theory
- Applications of Lie Groups to Difference Equations
- First integrals of difference Hamiltonian equations
- Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
- The Pinney equation and its discretization
- Continuous symmetries of Lagrangians and exact solutions of discrete equations
- Symmetries, Lagrangian Formalism and Integration of Second Order Ordinary Difference Equations
- Discretization of second-order ordinary differential equations with symmetries
- The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
- Nonlinear boundary value problems in science and engineering
- Noether-type theorems for difference equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
