Forward diff erence case, MATLAB Programming

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Use Taylor series to derive the form of the truncation error of the approximation


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Suppose f € C3. Given that the roundo error has the similar form as in the Forward Di fference case, fi nd an expression for the step size h that provides the smallest total (absolute) error. Change ForwardDifference.m to show how the total error in using Equation 1 behaves for severalvalues of h and comment on your results.

 


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