Transforming ODEs and PDEs with radical coefficients into rational coefficients
Classical Analysis and ODEs
2020-03-16 v1 Symbolic Computation
Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.2003.06301,
title = {Transforming ODEs and PDEs with radical coefficients into rational coefficients},
author = {Jorge Caravantes and J. Rafael Sendra and David Sevilla and Carlos Villarino},
journal= {arXiv preprint arXiv:2003.06301},
year = {2020}
}
Comments
14 pages, submitted to a journal