Allied & ICAR Exam Bank • ALLIED_2772 NAT • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Numerical integration – trapezoidal and Simpson's rule

Question Statement:

If the step size $h$ in Simpson's $1/3$ rule is halved ($h \to h/2$), the global truncation error is reduced by a factor of:

Answer Key:

16

Step-by-Step Solution & Explanation

Error is $O(h^4)$. Halving $h$ reduces error by $(1/2)^4 = 1/16$, so the reduction factor is 16.
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