RT info:eu-repo/semantics/article
T1 Transforming ODEs and PDEs from radical coefficients to rational coefficients
A1 Caravantes Tortajada, Jorge
A1 Sendra Pons, Juan Rafael
A1 Sevilla, David
A1 Villarino Cabellos, Carlos
K1 Algebraic ordinary differential equations
K1 Algebraic partial differential equations
K1 Rational reparametrization
K1 Radical coefficients
K1 Matemáticas
K1 Mathematics
AB We present an algorithm that transforms, if possible, a givenODE or PDE with radical function coefficients into one with rationalcoefficients by means of a rational change of variables so that solutionscorrespond one-to-one. Our method also applies to systems of linearODEs. It is based on previous work on reparametrization of radicalalgebraic varieties.
PB Springer
SN 1660-5446
YR 2021
FD 2021-03-30
LK http://hdl.handle.net/10017/49677
UL http://hdl.handle.net/10017/49677
LA eng
NO Agencia Estatal de Investigación
DS MINDS@UW
RD 27-abr-2024