Transforming ODEs and PDEs from Radical Coefficients to Rational Coefficients-Reference-Cited by-同舟云学术

Transforming ODEs and PDEs from Radical Coefficients to Rational Coefficients

Published:2021-03-30 Issue:3 Volume:18 Page:
ISSN:1660-5446
Container-title:Mediterranean Journal of Mathematics
language:en
Short-container-title:Mediterr. J. Math.

Author:

Caravantes Jorge,Sendra J. Rafael,Sevilla David^ORCID,Villarino Carlos

Funder

FEDER/Ministerio de Ciencia, Innovación y Universidades - Agencia Estatal de Investigación

Dirección General de Investigación e Innovación, Consejeŕıa de Educación e Investigación of the Comunidad de Madrid (Spain), and Universidad de Alcalá

Junta de Extremadura and FEDER funds

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00009-021-01703-x.pdf

Reference16 articles.

1. Ngô, L.X.C., Winkler, F.: Rational general solutions of first order non-autonomous parametrizable ODEs. J. Symb. Comput. 45(12), 1426–1441 (2010)

2. Cox, D.A., Little, J., O’Shea, D.: Ideals, varieties, and algorithms. Undergraduate Texts in Mathematics. Springer, Cham, fourth edition. An introduction to computational algebraic geometry and commutative algebra (2015)

3. Grasegger, G., Lastra, A., Sendra, J.R., Winkler, F.: A solution method for autonomous first-order algebraic partial differential equations. J. Comput. Appl. Math. 300, 119–133 (2016)

4. Grasegger, G., Lastra, A., Sendra, J.R., Winkler, F.: Rational general solutions of systems of first-order algebraic partial differential equations. J. Comput. Appl. Math. 331, 88–103 (2018)

5. Huang, Y., Ngô, L.X.C., Winkler, F.: Rational general solutions of higher order algebraic ODEs. J. Syst. Sci. Complex 26(2), 261–280 (2013)

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