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Confusing velocity distribution result 
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#1
Dec212, 05:17 AM

P: 73

hello,
Please see attached excerpt of a solution to a problem. I do not understand why the result obtained is to second order ? (this is a diffusion equation they say) Please let me know if you would need more info. Thanks, 


#2
Dec212, 07:46 AM

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What does "at n 1" mean?



#3
Dec212, 09:13 AM

P: 73

n1 means at the step which is prior to step n where n is the number of boosts . I have attached the first paragraph for more details.



#4
Dec212, 09:32 PM

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Confusing velocity distribution result
It's because the first order differences will cancel out: f(x+dx) + f(xdx) ≈ f(x) + f'(x)dx + f''(x)dx^{2}/2 + f(x)  f'(x)dx + f''(x)dx^{2}/2 = 2f(x) + f''(x)dx^{2}



#5
Dec312, 01:18 PM

P: 73

I see. Thanks a lot !



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