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Eigenvalue pde

  1. Aug 2, 2007 #1
    hello! does anyone know how to solve the following (like an
    eigenvalue) PDE with matlab?

    aFxx+bFx+cFyy+dFy+eFxy=\lambda*F

    in which i am solving F with certain boundary conditions and
    a,b,c,d,e are functions independent of F.

    "pdeeig" in matlab doesn't seem to be able to handle this, coz of the
    annoying Fx and Fy terms :(

    thanks so much for any comments & suggestions!
     
  2. jcsd
  3. Aug 3, 2007 #2
    You can reduce this equation to canonical form using the method of charachteristics by hand, why use Matlab?
     
  4. Aug 3, 2007 #3
    it looks the method of characteristics only works for first-order equations, so i really don't know what it going on...

    i expected to convert to this format, but it doesn't work coz of the Fx,Fy terms:

    -grad.(c*grad(F))+aF=\lambda*d*f

    thanks so much for any help!!
     
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