Fourth order approximation of second order derivative using Taylor table method with comparison of central difference and skewed difference methodology

Objective: 4th order approximation of the second order derivative using Taylor table method 1. Central difference scheme For second order derivative(p=2) and fourth order approximation (q=4), the number of nodes reqd = p+q-1= 5 The equation for the second order derivative,say, dx^2*f \'\'(x) = a*f(i-2)+b*f(i-1)+c*f(i)+d*f(i+1)+e*f(i+2) …