First order perturbation

  • Thread starter Felesinho
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  • #1
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Homework Statement


I required to make a perturbation expansion in ε of the function:

Homework Equations



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

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:

Answers and Replies

  • #2
MathematicalPhysicist
Gold Member
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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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