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Which of these terms cause instability in the Crank-Nicolson scheme when used for finite volume approach?

(a) Anti-diffusion term

(b) Anti-dispersive term

(c) Diffusion term

(d) Dispersive term

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The correct option is (d) Dispersive term

Easy explanation: By expanding the results of the Crank-Nicolson scheme using the Taylor series expansion, the scheme is proved to be a second-ordered scheme. The third-ordered term omitted here is a dispersive term causing instabilities.

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