solving a multi-dimensional non-homogeneous transient PDE

[LenRijvers]

Hi,

in the context of my graduation project I want to solve a 2D, transient hon-homogeneous conduction problem with convective boundary conditions in cylindrical coordinates (see file attached).

According to an online source: "This problem can be decomposed into a set of steady state non-homogeneous problems in each of which a single non-homogeneous boundary condition occurs and a transient problem."

I managed to complete the first step: decompose the problem in a homogeneous transient and a non-homogenous steady-state part.

The question is how to decompose the non-homogeneous steady state PDE with non-homogeneous boundary conditions into a set of steady state non-homogenous problems in each of which a single non-homogeneous boundary conditions occurs?

Thanks in advance!

Kind regards,

Len

 

[HallsofIvy]

Well, what methods do you know for solving such an equation? Have you tried "separation of variables" or "Fourier series" methods?