The Rutta Kunga method        03/01/16

Numerical analysis is one of the most pertinent topics in the field of applied mathematics. The first technique a student learned, euler’s method, is often too inchoate and ineffective for higher accuracy problems. Consequently, the Rutta Kunga methods was developed in response for such a problem. suppose we have a differential equation y’=f(x,y). We then use this really complicated equation yn+1=yn+x6*(k1+2k2+2k3+k4), with k1 =f(xn,yn), k2=f(xn+12x,yn+12*k1*12*x), k3=f(xn+12x,yn+12*k2*12*x), k4 =f(xn+x,yn+k3x). And then magic happens and you get a really really accurate answer after you account for all of the step sizes

• Mathematics