Project ForgeEngineering Mathematics
Numerical Methods
GATE 2018
Medium
The fourth order Runge-Kutta (RK4) method solves dy/dx=f(x,y). For the special case when f depends solely on x, the RK4 method reduces to
- AEuler's explicit method
- BTrapezoidal rule
- CEuler's implicit method
- Simpson's 1/3 rule
Explanation
When f depends only on x, RK4 reduces to evaluating the definite integral ∫f(x)dx via Simpson's 1/3 rule — a well-known classical result.
Source: GATE CH 2018 (2018)
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