Question: Derive the following FD approximations and their accuracy using Taylor series for a) central difference fourth-order accurate operator using i+2, i+1, i, i-1, i-2

Derive the following FD approximations and their accuracy using Taylor series for

Derive the following FD approximations and their accuracy using Taylor series for a) central difference fourth-order accurate operator using i+2, i+1, i, i-1, i-2 nodes b) 2nd order accurate backward difference 2. and for x* a) fourth-order accurate central difference ap ax

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