A Maple package to find first order differential invariants of 2ODEs via a Darboux approach

Published: 1 January 2014| Version 1 | DOI: 10.17632/cmdh9s76vc.1
J. Avellar, L.G.S. Duarte, L.A.C.P. da Mota


Abstract Here we present an implementation of a semi-algorithm to find elementary first order differential invariants (elementary first integrals) of a class of rational second order ordinary differential equations (rational 2ODEs). The algorithm was developed in Duarte and da Mota (2009) [18]; it is based on a Darboux-type procedure, and it is an attempt to construct an analog (generalization) of the method built by Prelle and Singer (1983) [6] for rational first order ordinary differential equatio... Title of program: FiOrDi Catalogue Id: AEQL_v1_0 Nature of problem Determination of first order differential invariants for rational second order ordinary differential equations. Versions of this program held in the CPC repository in Mendeley Data AEQL_v1_0; FiOrDi; 10.1016/j.cpc.2013.08.014 AEQL_v2_0; FiOrDi; 10.1016/j.cpc.2015.04.028 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)



Computational Physics, Computer Algebra System, Computational Method