How does ode45 choose the time step?

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Kevin Bachovchin
Kevin Bachovchin 2014-5-22
Hello,
I know that ode45 uses a variable step Runge-Kutta procedure. I've read that ode45 chooses the time step in order to satisfy that the estimated error at any step should be less than a predetermined amount, specified by the time step. How does ode45 calculate this estimated error? Then how does ode45 use this estimated error to calculate the time step?
Thank you, Kevin

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