Improving a family of Darboux methods for rational second order ordinary differential equations

Published: 01-01-2015| Version 1 | DOI: 10.17632/mm9p7j6b7t.1
J. Avellar,
L.G.S. Duarte,
L.A.C.P. da Mota


Abstract We have been working in many aspects of the problem of analyzing, understanding and solving ordinary differential equations (first and second order). As we have extensively mentioned, while working in the Darboux type methods, the most costly step of our methods and algorithms of solution is the determination of Darboux polynomials for the associated differential operators. Here, we are going to apply a procedure to greatly reduce the time expenditure in determining these needed Darboux polyn... Title of program: FiOrDi Catalogue Id: AEQL_v2_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)