Numerical analysis is a very hard but really interesting subject.
------------Original Message------------
From: "Richard Hennessy"<rvh2007 at comcast.net>
To: "Barton Willis" <willisb at unk.edu>
Cc: "Maxima List" <maxima at math.utexas.edu>
Date: Sun, May-4-2008 8:11 PM
Subject: Re: [Maxima] Bessel_I problem
I have read up on running errors and I have a slow function that computes any eigenvalue to any degree of accuracy I want, but it can be very slow. I still have to incorporate the running errors into the algorithm so I am not sure of the precision I am getting (yet, but I am working on it).
------------Original Message------------
From: Barton Willis <willisb at unk.edu>
To: "Richard Hennessy" <rvh2007 at comcast.net>
Cc: "Maxima List" <maxima at math.utexas.edu>
Date: Sun, May-4-2008 7:52 PM
Subject: Re: [Maxima] Bessel_I problem
-----maxima-bounces at math.utexas.edu wrote: -----
>Also, the Shrodinger's eq for the x^4 potential can be solved in
>Mathematica for the special case where Energy = 0. Maxima can't do that
>it seems, but I was trying to find a way to work around that and do it in
>Maxima.
(%i18) load(odelin)$
(%i21) -'diff(f,x,2) + mu^2 * x^4 * f = 0;
(%o21) f*mu^2*x^4-'diff(f,x,2)=0
(%i22) odelin(%,f,x);
(%o22)
{bessel_j(-1/6,-(%i*mu*x^3)/3)*sqrt(-x),bessel_y(-1/6,-(%i*mu*x^3)/3)*sqrt(-x)}
For numerical evaluation, you're on your own.
Barton
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