GATE_AE_2027_MOCK_03_Q15 GATE 2027 Aerospace Engineering All-India Master Mock 03 (Flight Dynamics, Controls & Space Trajectories) MCQ · 1 Mark
Engineering Mathematics • Numerical Methods • Numerical Solutions of ODEs

In solving dy/dx = f(x, y) with step size h, the local truncation error of the classic 4th-order Runge-Kutta (RK4) method is of the order:

(A) O(h^5)
(B) O(h^4)
(C) O(h^3)
(D) O(h^2)
Answer Key:
A

Step-by-Step Verified Solution

### Solution: The local truncation error of RK4 is O(h^5), yielding a global truncation error of O(h^4). Correct: A.
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