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Jun 21, 2015 at 21:55 comment added E3labs Thank you so much for the help Michael
Jun 21, 2015 at 20:57 comment added Michael E2 @e3labs Oops, copied the wrong code. See the update. I usually prefer solving for the functions {p1, p2} instead of the value expressions {p1[z, t], p2[z, t]}, as it makes certain operations easier, such as computing residuals from pde and in this case, extracting properties of the InterpolatingFunction. (The blue in the post is due to Stackexchange; I have green too, which indicates that p is a local variable used to name the pattern.)
Jun 21, 2015 at 20:52 history edited Michael E2 CC BY-SA 3.0
Fixed code
Jun 21, 2015 at 20:28 vote accept E3labs
Jun 21, 2015 at 20:28 comment added E3labs Thanks a lot-All you guys here are great! The WhenEvent approach answers my original question so I consider this answered. FYI though, your addendum isn't working out. Just running zt20 I'm getting Position specification Missing["NotFound"] in Extract[p1["Grid"], Missing["NotFound"]] is not applicable and the output is Extract[p1["Grid"], Missing["NotFound"]]. Only thing I see is when I copy it over the p in FirstPosition's p<20 is green and not blue as in the post. Perhaps I'm missing your point about the extra braces.
Jun 21, 2015 at 19:46 history edited Michael E2 CC BY-SA 3.0
Added addendum
Jun 21, 2015 at 19:14 history answered Michael E2 CC BY-SA 3.0