Using Taylor Table method to derive 4th order approximation of the second order derivative of analytical function to describe the Central difference skewed right and skewed left schemes

Objective: AIM:To derive 4th order approximations of the second order derivative using 1.Central Difference 2.Skewed right sided difference 3.Skewed left sided difference SOLUTION: CENTRAL DIFFERENCE(CDS): No.of points stencil needed for Central differencing is =Order of error+Order of derivative-1. i.e=4+2-1 =5. 5…