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  • $\begingroup$ Isn't it enough to normalize the result after solving the equation? $\endgroup$ Commented Apr 7, 2013 at 16:48
  • $\begingroup$ @belisarius, you are right if the mentioned question was all I wanted. However, I intended to break down a very complicated question into a simple one. The problem I really want to solve is one in which there are several (chemical) species reacting with each other, and the probability density of some species is going out of the domain through the left boundary, while some other species through the right boundary. Moreover, if I want to monitor the time evolution, normalizing at every step seems to be the only right way. $\endgroup$ Commented Apr 7, 2013 at 17:08
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    $\begingroup$ Er… You mean you need to normalize y at the moment NDSolve gets the solution for the first time point and then solve the y at the next time point with this solution and so on? …Is it still a PDE-solving issue? $\endgroup$ Commented Apr 8, 2013 at 2:53
  • $\begingroup$ @xzczd, you are right. I believe it is a genuine PDE-solving problem. At least it involves NDSolve :-) $\endgroup$ Commented Apr 8, 2013 at 3:58
  • $\begingroup$ Is the expected solution assumed to go towards left boundary and grow and grow approaching a dirac delta function? $\endgroup$ Commented Apr 9, 2013 at 16:25