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I am analyzing the stability of 1D convection (advection) equation as shown in the picture. When I derive the equations as shown I want to get rid of the complex number. Trial of equations derivation I`m asking if those stability plots make sense or not Stability plot for various courant numbers from 0.25 to 1 Basic info of stability plots

I want to get rid of a complex number

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    $\begingroup$ Can you please type your equations using MathJax? $\endgroup$ – nicoguaro Apr 8 at 16:28
  • $\begingroup$ ok, sure, but I`m asking about the graphs, is it correct that as the wave numbers increase the amplification factor goes far from One? $\endgroup$ – Abdelrahman Mabrouk Apr 8 at 16:50
  • $\begingroup$ I don't think so, you need to compute the magnitude of $\gamma$ and then consider the maximum/minimum value of your trigonometric functions. $\endgroup$ – nicoguaro Apr 8 at 17:52

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