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Non-linear boundary problems

  1. Oct 5, 2006 #1
    Let's suppose we have a Non-linear operator (supposing is self-adjoint and all that) so:

    [tex] cos(y'')+(y')^{2}y+xy=g(x) [/tex] with the boundary conditions for some a and be real

    y(a)=0 and y(a)+2y(b)=0 then the "superposition principle" can't be applied so how the hell do you solve it :mad: :mad:

    By the way, does "Non-linear Fourier Analysis or Harmonic analysis2 exists?? :surprised :surprised
     
  2. jcsd
  3. Oct 5, 2006 #2

    HallsofIvy

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    There are very few non-linear equations that are solvable. Most techniques for non-linear equations are approximation methods.

    No, there are no "Fourier" methods for non-linear equations since those are based on linearity.
     
  4. Oct 5, 2006 #3

    Clausius2

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    There is a good book of Keller that is called the same as the headings of this thread. It goes all about the numerical methods for this kind of problems.

    Good Luck.
     
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