Mathematica NDSolve: 4th Order Runge-Kutta & Default Solution

[Jwink3101]

Hello. In my physical analysis class, a class with a lot of math physicists will need, we were talking about the 4th Order Runge-Kutta method. My professor said that it is what Maple used for numerical approximations. Although he pushed Maple, I use Mathematica and i was wondering what Mathematica uses for its default numerical solution function. Can anybody elaborate on Mathematica.

Thanks

 

[AlphaNumeric2]

http://documents.wolfram.com/mathematica/functions/NDSolve

Three quarters the way down it lists the methods you can tell Mathematica to do, up to 9th order R-K seems possible.