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Can I solve the discreate ODE by considering the continuous case?

  1. Jan 27, 2010 #1


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    There is a linear version of so-called lattice Schrodinger equation (LSE), it is just a variation form of nonlinear Schrodinger equation. But the LSE is the discrete case on N lattices. I wonder if I can solve the continuous case and then take the solution at specific lattice for the discrete case?
  2. jcsd
  3. Jan 27, 2010 #2
    Well first of all I'd like to see the equation.
    What is discrete in the equation, space? time? both?
    Does it involve an approximation of the derivative or is it a "standart" difference equation?
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