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Simpson’s rule assumes the function to be ___________(a) constant(b) cubic(c) linear(d) quadraticI 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»

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.



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