Question: DERIVING difference formula for ANY order derivative to ANY error order Use Taylor series expansions to derive a forward difference scheme, over equally-spaced points, using

DERIVING difference formula for ANY order derivative to ANY error order Use Taylor series expansions to derive a forward difference scheme, over equally-spaced points, using any or all of fi , fi 1 , fi 2 , fi 3 and fi 4 that approximates d2f/dx2 (2nd derivative at xi ) to order (Dx3 ) discretization error

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