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

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


    User Avatar
    Science Advisor

    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


    User Avatar
    Science Advisor
    Gold Member

    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook