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The Crank-Nicolson scheme is ________

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The Crank-Nicolson scheme is ________

(a) fourth-order accurate

(b) third-order accurate

(c) second-order accurate

(d) first-order accurate

This question was posed to me in an interview for internship.

Enquiry is from Transient Flows in division Transient Flows of Computational Fluid Dynamics

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Correct option is (c) second-order accurate

Explanation: The order of accuracy of the Crank-Nicolson scheme is two. It has better accuracy than the forward Euler scheme. This can be obtained using the Taylor series expansion of the temporal derivative.

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