Taylor table method and Matlab code

Objective: Derivation of 4th order approximation of second order derivative: 1. Central Approximation: `(del^2f) / (delx^2)` = 4th order accurate approximation using i-2, i-1, i, i+1 and i+2` Using Taylor series method, `(del^2f)/(delx^2) = af_(i-2) + bf_(i-1) + cf_i + df_(i+1) + ef_(i+2)` Rewritting in tabular form, we have:…