Q1. (1) The finite-divided difference approximations of the first derivative of the function f(x) can be f'(x,) = *)- f(x,) h (Eqn. 1) or f'(x,) = f(X,)- f(x,) . (Eqn. 2) 2h Which approximation has a...

Topic: numerical methods Sub topic: error analysis

Q1. (1) The finite-divided difference approximations of the first derivative of the function f(x) can be<br>f'(x,) = *)- f(x,)<br>h<br>(Eqn. 1)<br>or<br>f'(x,) =<br>f(X,)- f(x,) .<br>(Eqn. 2)<br>2h<br>Which approximation has a better accuracy? Prove your answer through error analysis.<br>

Extracted text: Q1. (1) The finite-divided difference approximations of the first derivative of the function f(x) can be f'(x,) = *)- f(x,) h (Eqn. 1) or f'(x,) = f(X,)- f(x,) . (Eqn. 2) 2h Which approximation has a better accuracy? Prove your answer through error analysis.

Jun 04, 2022

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Q1. (1) The finite-divided difference approximations of the first derivative of the function f(x) can be f'(x,) = *)- f(x,) h (Eqn. 1) or f'(x,) = f(X,)- f(x,) . (Eqn. 2) 2h Which approximation has a...

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