Computing the numerical solutions of a second order derivative of a function of fourth order approximations using Central difference Skewed right difference and Skewed left difference methods and comparing the absolute error between the analytical solution and the numerical solutions of the three different methods

Objective: DERIVATION OF FOURTH ORDER APPROXIMATION OF SECOND ORDER DERIVATIVE: To derive the fourth order approximation of the second order derivative, the following schemes can be used: 1.CENTRAL DIFFERENCING SCHEME: This scheme makes use of points from both sides of the present point in the stencil. The number of points to be…