Allied & ICAR Exam Bank • ALLIED_2769 MCQ • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Numerical integration – trapezoidal and Simpson's rule

Question Statement:

The global truncation error in the composite Trapezoidal rule with step size $h$ is of order:

Options:

  • (A) $O(h^2)$
  • (B) $O(h)$
  • (C) $O(h^4)$
  • (D) $O(h^3)$

Answer Key:

A

Step-by-Step Solution & Explanation

Composite trapezoidal global error scales with $O(h^2)$, while composite Simpson's 1/3 rule scales with $O(h^4)$.
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