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arXiv · 2003.06301

Transforming ODEs and PDEs with radical coefficients into rational coefficients

Jorge Caravantes·J. Rafael Sendra·David Sevilla·Carlos Villarino
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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.

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Jorge Caravantes, J. Rafael Sendra, David Sevilla, Carlos Villarino. 2020-03-13. Transforming ODEs and PDEs with radical coefficients into rational coefficients. https://arxiv.org/abs/2003.06301

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