2020/03/13 by Caravantes, Jorge, Sendra, J. Rafael, Sevilla, David +1
#Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #FOS: Computer and information sciences #FOS: Mathematics #Symbolic Computation (cs.SC)
paper · doi:10.48550/arxiv.2003.06301
We present an algorithm that transforms, if possible, a given ODE or PDE with radical function coefficients into one with rational coefficients by means of a rational change of variables. It also applies to systems of linear ODEs. It is based on previous work on reparametrization of radical algebraic varieties.