1)State the expression for the central difference representation of O() for nth derivative of a function....

  

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1)State the expression for the central difference representation of O(²) for nth derivative of a function. Derive the finite difference expression for the followings: df dx (forward difference O(h²)) ii). (backward difference O(h)) d' f dx7 iii) (central difference O(h) iii) d (central difference O(h²) dx dx iv) Using Richardson's extrapolation method, obtain the finite difference representation of O(h) for first and second derivatives of a function. 1)State the expression for the central difference representation of O(²) for nth derivative of a function. Derive the finite difference expression for the followings: df dx (forward difference O(h²)) ii). (backward difference O(h)) d' f dx7 iii) (central difference O(h) iii) d (central difference O(h²) dx dx iv) Using Richardson's extrapolation method, obtain the finite difference representation of O(h) for first and second derivatives of a function.

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Solution let the function f1 22 2 then forward difference formula of och is used t... View the full answer