For which of these problems is the Crank-Nicolson scheme unconditionally stable?(a) Compressible flows(b) Advection problems(c) Diffusion problems(d) Convection-Diffusion problemsThis question was posed to me in a job interview.My doubt stems from Transient Flows in section Transient Flows of Computational Fluid Dynamics

For which of these problems is the Crank-Nicolson scheme unconditional

1.	For which of these problems is the Crank-Nicolson scheme unconditionally stable?(a) Compressible flows(b) Advection problems(c) Diffusion problems(d) Convection-Diffusion problemsThis question was posed to me in a job interview.My doubt stems from Transient Flows in section Transient Flows of Computational Fluid Dynamics
Answer» Correct choice is (C) Diffusion problems To explain I would say: When the Crank-Nicolson SCHEME is applied to the diffusion problems, there is no RESTRICTION to the time-step from STABILITY side. It is unconditionally stable for this case. This is why the scheme is often used for diffusion problems.

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