Question

Simpson’s rule assumes the function to be ___________

(a) constant

(b) cubic

(c) linear

(d) quadratic

I have been asked this question in unit test.

My question is from Finite Volume Methods in chapter Finite Volume Methods of Computational Fluid Dynamics

Answer 1

The correct answer is (d) quadratic

To explain I would say: Simpson’s rule assumes the function to be integrated as a quadratic function. The points chosen to generate the quadratic line are the two endpoints and the midpoint. So, this approximation is more accurate.