# Taylor's Series Wave EquationWatch

#1
I'm looking at traffic flows and I have the first order wave equation (partial derivatives)

I have a wave speed denoted by So a small perturbation in the speed, by allowing .

and my notes say, using Taylor's theorem

But I don't understand how this step is attained.
0
1 week ago
#2
(Original post by NotNotBatman)
I'm looking at traffic flows and I have the first order wave equation (partial derivatives)

I have a wave speed denoted by So a small perturbation in the speed, by allowing .

and my notes say, using Taylor's theorem

But I don't understand how this step is attained.
Taylor's theorem tells you that when h is small, ; I'd have thought the application here was obvious.
0
#3
(Original post by DFranklin)
Taylor's theorem tells you that when h is small, ; I'd have thought the application here was obvious.
Thanks, honestly, it should be obvious, but I think I skipped learning this last year or just forgot it.
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