Transforming ODEs and PDEs with radical coefficients into rational coefficients

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 algebrai...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Caravantes, Jorge, Sendra, J. Rafael, Sevilla, David, Villarino, Carlos
Format:	Artikel
Sprache:	eng
Schlagworte:	Computer Science - Symbolic Computation Mathematics - Algebraic Geometry Mathematics - Classical Analysis and ODEs
Online-Zugang:	Volltext bestellen
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	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.
DOI:	10.48550/arxiv.2003.06301