# Expression for numerical amplification factor for Euler time integration and CD2 scheme for one degree hyperbolic function

This is the expression to be derived but I am not getting the exact expression as given in the image. Is the given expression given for the implicit Euler method?

Here $$N_c = c (\delta t)/h$$ and $$\tan(\beta_2) = N_c \sin (kh)$$.

• Can you explain what the problem is? May 30 at 15:44
• @nicoguaro I have to derive the above equation, but I cannot understand how we are getting e^(-i beta 2) in the expression.
– Avii
Jun 3 at 7:54
• We could guess that much. But, what is the starting point? What is your differential equation, what is your discretization scheme? Jun 3 at 13:47