[SciPy-user] solving an ode with boundary conditions
Max Wainwright
cwainwri@ucsc....
Tue Jun 23 19:37:34 CDT 2009
I have a 1D second-order differential equation that I'm trying to
solve with the following boundary conditions: dy/dt = 0 at r = 0 and y
(t) = 0 at t = infinity. I can solve this by doing guess and check
for the initial value of y at t = 0. If I guess too high, then y
goes to negative infinity at t = infinity. If I guess too low, y
never reaches zero and instead oscillates about some minimum.
Therefore, to check if I've overshot or undershot the solution all I
need to do is stop the integration once either y or -dy/dt goes
negative. Is there any way to do this with scipy? I also tried
looking at PyDSTool, but I had a hard time finding what I need. I
don't in principle know the time-scale of the solution (I'll be doing
this for lots of different parameters), so I'd like to avoid using a
fixed timestep.
Thanks.
-Max
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