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Numerical method to solve a fourth order ODE

  1. Dec 19, 2008 #1
    I've got the following ODE:

    K*w''''+c*w = q

    I can solve this with DSolve (from Matlab), but how can I solve this in a numerical way?

  2. jcsd
  3. Dec 20, 2008 #2


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    Welcome to PF!

    Hi rsluijs! Welcome to PF! :smile:

    To solve K*w''''+c*w = 0, you can replace ' by the operator D, giving the "characteristic polynomial" (KD4 + C)w = 0,

    and you factor that to (D + a)(D + b)(D + c)(D + d)w = 0,

    and then solve each individual (D + a)w = 0 etc, and add linear combinations of those solutions. :wink:
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