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Homework Help: Need help modeling a problem as a PDE

  1. Mar 19, 2010 #1
    I'm supposed to solve for the concentration u(x,y,t) of a substance flowing into the following boundary:
    http://img403.imageshack.us/img403/3...ffusionmap.png [Broken]

    The border is insulated so there is no flow out, same goes for the 4 blocks, and the red dot in the middle is the only source. I decided to split up the boundary into 21 subdomains, where the concentration of each subdomain is dependent on the other (therefore any side of a subdomain that touches the border or any block is essentially insulated). Am I approaching this the right way?

    Also, time does not tend to infinity, it's bounded by a relatively small number, so the concentration will never become too great such that the boundary can't hold any more coming in.
    Last edited by a moderator: May 4, 2017
  2. jcsd
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