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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 methodI 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»

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.



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