Allied & ICAR Exam Bank • ALLIED_2773 MCQ • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Numerical solutions of ODEs

Question Statement:

The classical Fourth-Order Runge–Kutta (RK4) method for solving $\frac{dy}{dx} = f(x, y)$ has global truncation error of order:

Options:

  • (A) $O(h^4)$
  • (B) $O(h^2)$
  • (C) $O(h^5)$
  • (D) $O(h)$

Answer Key:

A

Step-by-Step Solution & Explanation

Local truncation error is $O(h^5)$, so the cumulative global error across the integration interval is $O(h^4)$.
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