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Consider the strategy we introduced about adaptive error control which uses two different methods of...

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Consider the strategy we introduced about adaptive error control which uses two different methods of different order with the same step size Assume we use Euler s method to get w and midpoint rule to get u to approximate y that solves y y t 1 with y 0 0 5 and h 1 simultaneously a Compute w and by the two methods b Assuming the desired local truncation error is 0 1 compute the largest q so that qh for Euler s method can approximately ensure that the local truncation error is smaller than 0 1 Point out whether the current step size is acceptable or not You do not need to consider the case that there is an extra factor 2 in the definition of q hint recall the expression for q in Lec 7 and choose n 1

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