Program title:Lsolver
Catalogue number:ADZF_v1_0
Program summary URL:http://cpc.cs.qub.ac.uk/summaries/ADZF_v1_0.html
Program obtainable from:CPC Program Library, Queen's University, Belfast, N. Ireland
Licensing provisions:Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html
No. of lines in distributed program, including test data, etc.:1513
No. of bytes in distributed program, including test data, etc.:17 367
Distribution format:tar.gz
Programming language:Maple
Computer:Any computer running Maple
Operating system:Windows ME, Windows XP
Classification:4.3
Nature of problem: Solution of rational first order ordinary differential equations.
Solution method:The method of solution is based on a Darboux/PS type approach.
Restrictions:If the integrating factor for the ODE under consideration presents Darboux Polynomials of high degree (>3) in the dependent and independent variables, the package may spend an impractical amount of time to obtain the solution.
Unusual features:Our implementation not only searches for Liouvillian conserved quantities, but can also be used as a research tool that allows the user to follow all the steps of the procedure (for example, we can calculate the algebraic invariants curves and associated co-factors, the integrating factor etc). In addition, since our package is based on recent theoretical developments [J. Avellar, L.G.S. Duarte, S.E.S. Duarte, L.A.C.P. da Mota, Integrating first-order differential equations with Liouvillian solutions via quadratures: a semi-algorithmic method, J. Comput. Appl. Math. 182 (2005) 327–332], it can successfully solve a class of rational first order ODEs that were not solved by some of the best-known ODE solvers available.
Running time:This depends strongly on the ODE, but usually under 4 seconds.