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First order perturbation

  1. Jul 22, 2013 #1
    1. The problem statement, all variables and given/known data
    I required to make a perturbation expansion in ε of the function:
    2. Relevant equations

    A(X,y,z)=A(x-εsin(wy),y,z).
    X=x-εsin(wy)

    3. The attempt at a solution
    Solution:
    A(X,y,z)=A0(X,z)+ε[A1(X,z)+∂/∂XA0(X,z)]sin(wy)+o(ε^2)
    I get the terms A0(X,z) and ∂/∂XA0(X,z)sin(w,y) with the derivative with respect to ε . But I could not get A1.
    Thanks
     
    Last edited: Jul 22, 2013
  2. jcsd
  3. Jul 28, 2013 #2

    MathematicalPhysicist

    User Avatar
    Gold Member

    Can you elaborate on this?

    Do you want to find a Taylor series for this function?

    In that case you've got the formula for Taylor series in more than one variables.
     
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