Diffrenece between Newton Raphson method and Regula falsi Method

1.     in Regula falsi method, we calculate only one more value of each step i.e. f(x_n) while in Newton’s method we require two calculations f(x_n) and f’(x_n). So Newton’s method generally requires less number of iterations but requires more time for computation at each iteration.

2.     Regula falsi is surly convergent while Newton’s method is conditionally convergent. But once, Newton’s method converges, it converges faster.

3.     if f’(x) is large near the root, correction to be applied is smaller in case of Newton’s method and this method is preferred.

4.     when f’(x) is small near the root, correction to be applied is large in case of Newton’s method and hence in this case Regula falsi method should be applied.