Midpoint method: Difference between revisions

Revision as of 21:29, 3 December 2022

Revision as of 03:45, 23 April 2023

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[[File:Numerical integration illustration step=0.25.svg|right|thumb|The same illustration for <math>h=0.25.</math> It is seen that the midpoint method converges faster than the Euler method.]]

The midpoint method is a refinement of the [[Euler's method]]

:<math> y_{n+1} = y_n + hf(t_n,y_n),\, </math>

and is derived in a similar manner.