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

1. Jan 27, 2010

### KFC

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. Jan 27, 2010

### elibj123

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?