Re: [Maxima-discuss] Kovacic Algorithm

[Nijso B. <ni...@ho...>]

Dear Robert,

I will have to do the comparison, but I expect there is quite some
overlap. The nice thing about the Kovacic algorithm is that it is a
single algorithm solving many equations. 
An algorithm solving 90% of the second order linear ODE's is based on
trying to find hypergeometric solutions (Chan and Cheb-terrab, 2004) but
I haven't studied this method in detail.

Best,
Nyso


On Sun, 2014-03-30 at 17:20 +0000, Robert Dodier wrote:
> On 2014-03-30, Nijso Beishuizen <ni...@ho...> wrote:
> 
> > The Kamke database has 445 ODE's, it has 363 ODEs with rational
> > coefficients, and 181 of those can be solved by Kovacic' algorithm.
> > Kovacic.mac currently returns 180 solutions.
> 
> How do the existing Maxima functions for ODE's compare to kovacicODE?
> How many problems can be solved that weren't solved before?
> 
> Thanks a lot for you work, I appreciate it. 
> 
> best,
> 
> Robert Dodier
> 
> 
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