Question

I know the value of flux at point xc. How will you find the value of this flux at point x away form xc?

(a) Simpson’s rule

(b) Trapezoidal rule

(c) Mean value theorem

(d) Taylor series expansion

This question was posed to me in examination.

Origin of the question is Finite Volume Methods in chapter Finite Volume Methods of Computational Fluid Dynamics

Answer 1

The correct answer is (d) Taylor series expansion

The explanation is: Simpson’s rule, Trapezoidal rule and the Mean value theorem are all used to integrate a function numerically. To get a value at the point near another point where the value is known, we use the Taylor series.