Matlab and taylor table program

Objective: 1. Central Difference Scheme For finding the fourth order approximation of a second order derivative with central difference method, we will have to take the numerical stencil consisting of four terms i.e. two on each side of the f(i) as shown in the figure. thus we will define the the second order derivative as `frac{d^2f}{dx^2}=frac{af(i-2)+bf(i-1)+cf(i)+df(i+1)+ef(i+2)}{Deltax^2}+O(x^4)`…