X Y1 04 1.3862945 1.6094386 1.791759

General Form of Newton’s Interpolating Polynomials

Recursive nature of finite divided differences

Steps to solve ODE• Create a function which takes two argument t and y and gives f(t,y)For example

• Create another function which takes name of the M-file that evaluates the ODE[ti, tf] where ti and tf = initial and final values of

independent variableY0 initial value of dependent variableH step size

• No of steps required to solve ODE for given time span = tspan/stepsize

• Make column matrix t=0 : step size : end value • Make column matrix Y of same size

Classical Fourth-Order Runge-Kutta Method