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I have a PDE in the form of $$ \frac{\partial u}{\partial t} + \frac{\partial u}{\partial x} + u = \delta(x-1), $$ with initial condition $u(x,0)=100$. I'm trying to solve it numerically, but I have no idea on which method should I use. Most of the examples that I refer to has no delta function in the PDE.

Can anyone guide me on what should I do?

Thank you very much.

  • 1
    What's the domain?2012-12-05
  • 0
    Hi there, the domain for x is 02012-12-05
  • 0
    Can we follow the type of the approach in http://math.stackexchange.com/questions/223552?2012-12-06
  • 0
    @doraemonpaul Is exaclty the same thing. See [my answer](http://math.stackexchange.com/a/251807/19532) for details.2012-12-06

2 Answers 2