Runge Kutta order 4

Runge Kutta Method of order 4 for Solving Ordinary Differential Equation

Taylor's Series gives us a reasonably good approximation to a function, especially if we are nearenough to some known starting point, and we take enough terms. However, one of the drawbackswith Taylor's method is that you need to differentiate your function once for each new term youwant to calculate. This can be troublesome for complicated functions, and doesn't work well incomputerized modelling.