Finding higher order Darboux polynomials for a family of rational first order ordinary differential equations

Published: 01-01-2015| Version 1 | DOI: 10.17632/j84w2jvdhy.1
J. Avellar,
A.L.G.C. Claudino,
L.G.S. Duarte,
L.A.C.P. da Mota


Abstract For the Darbouxian methods we are studying here, in order to solve first order rational ordinary differential equations (1ODEs), the most costly (computationally) step is the finding of the needed Darboux polynomials. This can be so grave that it can render the whole approach unpractical. Hereby we introduce a simple heuristics to speed up this process for a class of 1ODEs. Title of program: Lsolver Catalogue Id: ADZF_v3_0 Nature of problem We deal with the analytical solving of 1ODEs via a Darboux method. Versions of this program held in the CPC repository in Mendeley Data ADZF_v1_0; Lsolver; 10.1016/j.cpc.2007.05.014 ADZF_v2_0; Lsolver; 10.1016/j.cpc.2014.01.016 ADZF_v3_0; Lsolver; 10.1016/j.cpc.2015.04.026 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)