> It is polite to give links to what you are referring to rather than > expecting others to go look it up:
Sorry about that. I will include links in the future. > There are simpler and more useful algorithms that have not yet been > implemented in sympy. In particular the Kovacic algorithm gives > solutions for a useful and commonly occurring class of ODEs: For Kovacic's Algorithm, I found a paper which consists of an updated Kovacic Algorithm and includes the implementation in Maple for different cases. Here is the link to it - https://cs.uwaterloo.ca/research/tr/1984/CS-84-35.pdf Please let me know if this is a good idea for a GSoC project. Naveen On Saturday, March 13, 2021 at 8:46:51 PM UTC+5:30 Oscar wrote: > On Sat, 13 Mar 2021 at 14:27, Naveen Saisreenivas Thota > <naveensai...@gmail.com> wrote: > > > > Hi all, > > > > I wanted to discuss the project "Integrating factors for second order > ODEs". First off, is the paper too big for a GSoC project this year since > the time limit is reduced? If not, even parts of the paper can be > implemented. I have already gone through the paper, and I have some doubts > regarding it. > > It is polite to give links to what you are referring to rather than > expecting others to go look it up: > > https://github.com/sympy/sympy/wiki/GSoC-Ideas#other-ode-ideas > > The paper is "Integrating factors for second order ODEs" by E.S. > Cheb-Terrab and A.D. Roche and is linked to here: > > https://drive.google.com/file/d/1-XktJVEzpRK9nOlaMjE7arEgMgGlV_sN/view > > I have just looked very briefly at the paper. Not having read it I > can't answer your detailed questions. What I can say is that the > algorithm looks fairly complicated and the kinds of ODEs that it can > solve are not that common compared to other cases that dsolve is > unable to solve. > > There are simpler and more useful algorithms that have not yet been > implemented in sympy. In particular the Kovacic algorithm gives > solutions for a useful and commonly occurring class of ODEs: > https://www.sciencedirect.com/science/article/pii/S0747717186800104 > The Kovacic algorithm can find any Liouvillian solution to any 2nd > order linear ODE with rational function coefficients. This makes it > somewhat like the Risch algorithm in that it can prove the > non-existence of solutions from a given class of functions. (It is > based on the same theory as the Risch algorithm but is much simpler.) > > > Oscar > -- 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 view this discussion on the web visit https://groups.google.com/d/msgid/sympy/47414c29-7666-466b-aad4-74a6421f2695n%40googlegroups.com.
