Question

Which of these statements is correct?

(a) When the order of accuracy is the same for two methods, the accuracy is also the same

(b) Runge-Kutta method interpolates at more than one point in a time interval

(c) Runge-Kutta method is not a multipoint method

(d) An n^th order Runge-Kutta method is more accurate than the n^th order multipoint method

I had been asked this question by my college director while I was bunking the class.

The doubt is from Transient Flows in chapter Transient Flows of Computational Fluid Dynamics

Answer 1

The correct answer is (d) An n^th order Runge-Kutta method is more accurate than the n^th order multipoint method

The explanation is: When comparing the Runge-Kutta method and the multipoint method, even if the order of accuracy is the same, the Runge-Kutta method is more accurate. This is because the coefficient of the Runge-Kutta method is small.