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Would you know what is the condition for stability for the advection-diffusion equation where we treat the diffusion part using Crank-Nicholson and the advection part using FCTS (forward in time centered in space)? I am applying von Neumann analysis but I am not sure about the final condition for stability. Do you know where I could find the proof for the stability of that scheme? Thank you

jason
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    The relevant question is whether you are in the advection or diffusion dominated regime. Can you tell more about which effect is dominant in your case? – Wolfgang Bangerth Jun 04 '14 at 12:58
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    You could try a splitting scheme where you solve the diffusion term implicitly, and then solve the advection term explicitly – James Jun 04 '14 at 13:46
  • Click in the advection-diffusion tag in this site. There a few examples of how to do this within the Crank-Nicolson framework. – boyfarrell Jun 05 '14 at 13:22
  • For example, this one, http://scicomp.stackexchange.com/questions/7399/how-to-discretize-the-advection-equation-using-the-crank-nicolson-method/ – boyfarrell Jun 06 '14 at 05:45

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