Yes, now I see this.  So, maybe mathematically I have setup the problem 
incorrectly.  I would like to allow the concentrations at the interface to 
increase if the rate of back diffusion becomes greater than the rate of decay. 
The rate of decay at the interface is dc/dt = -kt.




________________________________
 From: Jonathan Guyer <[email protected]>
To: FIPY list <[email protected]> 
Sent: Monday, May 13, 2013 2:16 PM
Subject: Re: Transient Diffusion with Time Varying BC
 


On May 13, 2013, at 3:58 PM, Chuck Holbert <[email protected]> wrote:

> To estimate back diffusion and an accumulation at the interface (left-most 
> boundary), don't I want the precursor of the exponential to change at every 
> timestep as phi changes?
> 
> Forgive me if this should be evident, but want to make sure I understand.

I don't know that it's evident either way, but I don't think you want the 
precursor changing as a function of time other than when the decay rate 
changes. If nothing else, I note that you don't change the precursor during the 
"INITIAL PERIOD FROM 1970 TO 2013", it's just 250. for the entire time period. 
In subsequent periods, the reservoir to the left has already decayed away to 
some lower value and you want to make it now decay at a lower rate; if you have 
the precursor changing at every timestep, I think you're double counting the 
decay.
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