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Problem with estimating error

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am
am 2019-5-1
评论： am 2019-5-1
Hi,
We are trying to calculate the error in a double pendulum with Runge Kutta method.
We first run the program for an h = 0.001 and saved the 4 values inside of a reference vector. We then normalized the vector and compared it's norm against results for bigger h.
The problem is that although h is divided by two in every step, the error seems to be growing.
Why is that happening?
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am
am 2019-5-1
I moved in all the vectors and the t, the error is now getting smaller!
But it has not accurace O(h⁴) as expected?
am
am 2019-5-1
Additionally, if I choose a smaller h, than I have a bigger error. Is it what you meant with Heinseberg uncertainity principle?

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