Ordinary Differential Equation Using Fourth Order Runge Kutta (RK) Method Algorithm


1. Start

2. Define function f(x,y)

3. Read values of initial condition(x0 and y0), 
   number of steps (n) and calculation point (xn)
   
4. Calculate step size (h) = (xn - x0)/n

5. Set i=0

6. Loop 
      
      k1 = h * f(x0, y0)
      k2 = h * f(x0+h/2, y0+k1/2)
      k3 = h * f(x0+h/2, y0+k2/2)
      k4 = h * f(x0+h, y0+k3)
      
      k = (k1+2*k2+2*k3+k4)/6
      
      yn = y0 + k
      
      i = i + 1
      x0 = x0 + h
      y0 = yn
      
   While i < n


7. Display yn as result


8. Stop

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