Taylor table method and Derivation of the following 4th order approximations of the second-order derivative 1 Central difference 2 Skewed right-sided difference 3 Skewed left-sided difference
Objective: close all; clear all; clc; %Skewed right-sided difference %(d^y/dx^2)=(af(x)+bf(x+dx)+cf(x+2dx)+df(x+3dx)+ef(x+4dx)+gf(x+5dx))/(dx^2) a=3.7500; b=-12.8333; c= 17.8333; d=-13.0000; e= 5.0833; x=pi*2; g=-0.8333; Dx=linspace(pi/40,pi/400000,20) analytical_function=exp(x)*cos(x) for i=1:length(Dx) dx=Dx(i) analytical_derivative=-2*exp(x)*sin(x)…