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Thread: Huen's Method

  1. #1
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    Huen's Method

    I'm trying to do a section of my math assignment and it says to use Huen's method. Now that in itself is no problem, the problem is I haven't been tought Huen's method. Can someone enlighten me please. I have a first order DE in standard form, and have managed to solve it analytically, but now must do it using Huens method. Any help would be most appreciated.
    Cheers
    Chris

  2. #2
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    Re:Huen's Method


  3. #3
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    Re:Huen's Method

    Thanks Lovechild, that helps immensly
    CP

  4. #4
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    Re:Huen's Method

    Thanks for that. I seem to have figured out what I'm doing, however I am not entirely certain of my answers. I'm just going to lay out the problem here, and if someone could verify my answers for me I would be most grateful.
    We start off with the equation

    Ldi/dt + Ri=0
    where L=1 and R=1

    I then solve this DE to obtain
    i=C/e^t

    the initial condition is that i=0.001, so this equation becomes
    i=0.001/e^t
    Now I solve this analytically using the values t=1,2,3,4,5
    and obtain the values
    i1=3.679*10-4
    i2=1.353*10-4
    i3=4.979*10-5
    i4=1.832*10-5
    i5=6.738*10-6

    These values appear to be correct and agree with my classmates. I seem to run into trouble when trying to use Huen's method now. I have differentiated i=0.001/e^t, and got
    di/dt=-0.001/e^t

    Now in Huen's Method when I use the formula
    in+1=in+(1/2)*(f'(tn)+f'(tn+1)
    I get significantly different answers to those I would expect, the first answer checks out with expected answers, and classmates, but after that all turns to shit. If anyone out there understands this, and can point out if I've gone wrong, or things are working right, I would be most appreciative.
    Cheers
    CP

  5. #5

    Re:Huen's Method

    Please stop; you guys are scaring hell out of me!

  6. #6
    Guest

    Re:Huen's Method

    [quote author=Bullgooseloony link=board=14;threadid=4897;start=0#48748 date=1031577267]
    Please stop; you guys are scaring hell out of me!
    [/quote]

    i feel the same way

  7. #7
    Guest

    Re:Huen's Method

    Make the bad man stop!!!

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