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math.CA2017★ 1 cited
Algorithmic Verification of Linearizability for Ordinary Differential Equations
Dmitry Lyakhov, Vladimir Gerdt, Dominik Michels
For a nonlinear ordinary differential equation solved with respect to the highest order derivative and rational in the other derivatives and in the independent variable, we devise…
math.CA2015
Linearization of ODEs: algorithmic approach
Vladimir Gerdt, Dmitry Lyakhov
Algorithmic approach to the problem of linearization by point transformation of ordinary differential equation of arbitrary order is presented. Test-linearization is purely algorit…