Question

Which series expansion is used by the MacCormack’s technique?

(a) Taylor Series

(b) Fourier series

(c) McLaurin series

(d) Laurent series

The question was asked in an interview for job.

My question is taken from Finite Difference Methods in portion Finite Difference Methods of Computational Fluid Dynamics

Answer 1

Correct answer is (a) Taylor Series

To elaborate: The MacCormack’s technique uses the Taylor series expansion to approximate its time derivatives like the finite difference scheme. But the accuracy here is not dependent on the order of the derivative. It has improved accuracy.