Get solution for a linked multi-stage BVP

I have made a function that includes a bvp (I've used bvp4c for this) for a single stage of a process. This function has boundary conditions at the top and bottom of this stage coming to a single solution. Now I would like to use this function I have created to model several stages. This would mean that the bvp is now coupled with the solution at the top coming from one stage will be the boundary condition at the bottom for the next stage. But, I only now the exact boundary conditions at the far top and bottom of this whole coupled system. How do I model this problem?

It would look something like this:

Known top BC's

#Process stage 1#

Linked BC's

#Process stage 2#

Linked BC's

#Process stage 3#

Linked BC's

#Process stage 4#

Known bottom BC's

Thanks in advance!

Answer 1

[Torsten]

How do I model this problem?

By solving it as a multipoint boundary value problem:

https://uk.mathworks.com/help/matlab/math/solve-bvp-with-multiple-boundary-conditions.html