Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Can I do this in Mathematica?

  1. May 19, 2012 #1
    Hello,

    I have the following Laplace function:

    [tex]\frac{\left[2\sqrt{a\,s}K_1\left(2\sqrt{a\,s}\right)\right]^N}{s}[/tex]

    where N and a are constants and K1 is the modified Bessel function of the second kind and order 1. I need to find the inverse Laplace transform at a specific value. Can I do that in Mathematica?

    Thanks
     
  2. jcsd
  3. May 19, 2012 #2
    I do not believe so.

    It seems that it cannot even do this simpler problem

    http://www.wolframalpha.com/input/?i=InverseLaplaceTransform[BesselY[1,Sqrt[s]]/Sqrt[s],s,t]

    It can't even do this

    http://www.wolframalpha.com/input/?i=InverseLaplaceTransform[BesselY[1,s]/s,s,t]

    Check this carefully before depending on it

    If I have not made a mistake and
    if Mathematica cannot do this and
    if you can convincingly demonstrate that there is a solution that is valid over a significant domain
    then we can try to coax them to incorporating that into a future release,
    but I would urge you to not hold your breath waiting for this.

    Is there any chance that you can find an acceptable approximation to your function which does have an Inverse Laplace?
     
    Last edited: May 20, 2012
  4. May 20, 2012 #3
    This is the problem, there is no closed form expression known for this. I thought Mathematica would do the numerical inverse Laplace transform. I think I need to do that manually now. Thanks
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook