Find the second-order accurate finite difference approximation of the – McqOptions

MCQOPTIONS

1.	Find the second-order accurate finite difference approximation of the first derivative of the velocity component (u) in the x-direction using the Taylor series expansion. (Note: i and j are in the x and y-direction respectively).
A.	\(\frac{u_{i,j+1}-u_{i,j-1}}{\Delta x}\)
B.	\(\frac{u_{i+1,j}-u_{i-1,j}}{\Delta x}\)
C.	\(\frac{u_{i+1,j}-u_{i-1,j}}{2\Delta x}\)
D.	\(\frac{u_{i,j+1}-u_{i,j-1}}{2\Delta x}\)
Answer» D. \(\frac{u_{i,j+1}-u_{i,j-1}}{2\Delta x}\)

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