1.

Find the first-order forward difference approximation of \((\frac{\partial u}{\partial x})_{i,j}\) using the Taylor series expansion.

A. \(\frac{u_{i,j+1}-u_{i,j}}{2 \Delta x}\)
B. \(\frac{u_{i+1,j}-u_{i,j}}{2 \Delta x}\)
C. \(\frac{u_{i,j+1}-u_{i,j}}{\Delta x}\)
D. \(\frac{u_{i+1,j}-u_{i,j}}{\Delta x}\)
Answer» E.


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