Talyor Table Method for Fourth Order Approximation for second order Derivative

Objective: 1. Central difference for second order derivative:- *-------*-------*--------*--------* (i-2) (i-1) i (i+1) (i+2) Formula:- `frac{partial^2u}{partialx^2}=frac{af(i+2)+bf(i+1)+cf(i)+df(i-1)+ef(i-2)}{Deltax^2}`--------eq1 Derivation By using Taylor…