# 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?