> As I asked on May 21, 2012, at 11:08 AM:
> 
>> It is difficult to be sure, but the green curve (Mathematica solution?) 
>> seems to have a small slope at alpha=1, where as the blue curve (FiPy 
>> solution?) looks like it has zero slope. Could there be a difference in the 
>> boundary conditions? FiPy assumes zero flux on all boundaries unless 
>> specified otherwise.
> Are you sure you are solving both problems with the same boundary conditions? 
> The discrepancies you are seeing are not generally characteristic of poor 
> solution (whether due to excessive timesteps, grid resolution, or inadequate 
> sweeping for non-linearity). Your solution is smooth and basically looks 
> "OK", it just doesn't agree numerically. Poor solutions tend not to look 
> right at all.


I didn't explain what the graph showed very well. It wasn't the solution for a 
given time (which represents a probability distrubution) but rather how the 
probability folded with a weighting function (which yields a scalar) changes 
over time. So the graph I showed wasn't the solution calculated by FiPy. Now 
I've uploaded a graph with the reference probability distribution (green) and 
the calculated probability (blue) for a given time (after aprox. 300 
timesteps): http://imgur.com/6EOuk

Thanks for everything so far!

Cheers,
Matej
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