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A chemical engineering example for lagurre equation

  1. Nov 17, 2007 #1
    Is there anybody here can give me a chemical engineering example that the final differential equation will be LAGUERRE ?
     
  2. jcsd
  3. Dec 6, 2007 #2

    Astronuc

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    Staff: Mentor

    I've tried finding an example that wasn't buried in a journal. Still working on it.

    Laguerre functions/polynomials are obviously the solutions of the Laguerre differential equation:

    x y'' + (1-x) y' + [itex]\lambda[/itex] y = 0.

    http://www.math.uu.nl/people/ruijgrok/Cestlaguerre2.pdf

    http://en.wikipedia.org/wiki/Laguerre_polynomials

    http://mathworld.wolfram.com/LaguerrePolynomial.html
    http://mathworld.wolfram.com/LaguerreDifferentialEquation.html

    http://www.physics.drexel.edu/~tim/open/hydrofin/hyd.html

    http://arxiv.org/PS_cache/math/pdf/0610/0610953v1.pdf


    Laguerre functions show up in process control - http://www.chemengr.ucsb.edu/~ceweb/faculty/seborg/pdfs/Book_review_Cluett_pub.pdf
     
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