SOLVED: NUMERICAL METHODS (Computing Finite-Difference Formulas for Derivatives). Use a Taylor series expansion to derive a centered finite-difference approximation to the third derivative that is second-order accurate. Hint: you will have to use four different expansions for the points xi-2, xi-1, xi 1, and xi 2. In each case, the expansion will be around the point xi. The interval ∆x will be used in each case of i - 1 and i 1, and 2∆x will be used in each case of i - 2 and i 2. The fou
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