Great. The separation ansatz and the Bessel function idea are both good. I believe someone started a PR at some point for Bessel/Airy functions so probably good to look at that as well.
For Lie groups the existing code needs substantial improvement. It is largely untested and has many bugs. If that code was in an open PR now then I would object to merging it. I think the priority there is not so much extending the Lie group solvers but fixing what is already there and coming up with good examples for tests that actually cover the different branches of the code. -- Oscar On Sun, 17 Mar 2019 at 14:25, rituraj singh <riturajsingh...@gmail.com> wrote: > > Hello, Everyone > Myself Ritu Raj Singh, sophomore of IIT BHU Varanasi.( GitHub profile) > > I would like to work on the implementation of ODE's solution this summer in > my GSoC. > > Currently, SymPy only supports many basic types of differential equations, > but there are plenty of methods that are not implemented. > > Separation ansatz: > > "A simple method to find out when an ordinary differential equation is > separable" by José ́Ángel Cid( currently working on this with the help of > smichr ) > > "Solving Differential Equations in Terms of Bessel Functions" by Ruben > Debeerst. > > Webpage: http://rubendebeerst.de/master/ > Master Thesis: http://rubendebeerst.de/master/master.pdf > Corresponding ISSAC 08 paper: > http://rubendebeerst.de/master/paper_issac2008.pdf. > > Lie groups and symmetry-related: > > An implementation of these methods was done for first order ODEs during > gsoc13. But we can do the same tricks for second order ODEs too. > "Computer Algebra Solving of First Order ODEs Using Symmetry Methods" by E.S. > Cheb-Terrab, L.G.S. Duarte and L.A.C.P. da Mota. There is a short (15 pages) > and an updated (24 pages) version of this paper. > "Computer Algebra Solving of Second Order ODEs Using Symmetry Methods" by > E.S. Cheb-Terrab, L.G.S. Duarte, L.A.C.P. da Mota > "Integrating factors for second order ODEs" by E.S. Cheb-Terrab and A.D. Roche > "Symmetries and First Order ODE Patterns" by E.S. Cheb-Terrab and A.D. Roche > "Abel ODEs: Equivalence and Integrable Classes" by E.S. Cheb-Terrab and A.D. > Roche Note: Original version (12 pages): July 1999. Revised version (31 > pages): January 2000 > "First order ODEs, Symmetries, and Linear Transformations" by E.S. > Cheb-Terrab and T. Kolokolnikov > "Non-Liouvillian solutions for second order linear ODEs" by L. Chan, E.S. > Cheb-Terrab. > > So I would like to work to complete these tasks. > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sympy+unsubscr...@googlegroups.com. > To post to this group, send email to sympy@googlegroups.com. > Visit this group at https://groups.google.com/group/sympy. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sympy/c6fa99ef-15ed-49e4-9d74-4cfed8d41ebf%40googlegroups.com. > For more options, visit https://groups.google.com/d/optout. -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at https://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CAHVvXxQ-7AYFYdix38CtCxORRR8vz5hh1hQ-82ZL_6u9446CTQ%40mail.gmail.com. For more options, visit https://groups.google.com/d/optout.
