Solv Laplace Equation: Finite-Integral-Transform Method

[ftarak]

Hi everybody,

I just want to know, anybody has any information or sources about the method of Finite-Integral-Transform method in order to solve the Laplace Equations. I couldn't find this topic in any texts, mostly they just introduce the method of SOV or Fourier Integral Transform.

I need this urgently to solve my homework, please help me.

 

[hunt_mat]

Do you mean Fourier series? Define this transform.

 

[ftarak]

Do you mean Fourier series? Define this transform.

Actually, not. As you know, for solving the Laplace equation in any coordinate systems, the first method is Separation of Variable and another method is Fourier Transform method, which the boundaries of integration are -infinity to +infinity, but in the method of Finite Integral Transform (FIT) the boundary of integration is finite (e.g. -1 to 1) and by using this method we could define the Fourier coefficients.