[Solved] Which statement best describes how ode45 adapts its step size during solving? — Ans: It automatically adjusts step size to control error using Runge-Kutta method | MATLAB

MATLAB - Numerical Methods

Which statement best describes how ode45 adapts its step size during solving?

AIt only decreases step size when solution diverges

BIt automatically adjusts step size to control error using Runge-Kutta method

CIt increases step size linearly regardless of error

DIt uses a fixed step size specified by the user

Step-by-Step Solution

Solution:

Step 1: Understand ode45 method
ode45 uses an adaptive Runge-Kutta method that changes step size to keep the local error within tolerance.
Step 2: Compare options
It automatically adjusts step size to control error using Runge-Kutta method correctly describes adaptive step size control. Options A, B, and C are incorrect descriptions.
Final Answer:
It automatically adjusts step size to control error using Runge-Kutta method -> Option B
Quick Check:
ode45 uses adaptive step size control [OK]

Quick Trick: ode45 adapts step size to keep error low automatically [OK]

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