I think you might need to be bit more specific.
The reason for why a solution does not converge is usually because the mathematical problem is badly formulated, not because of a problem with the software you are using (unless of course there is a bug in the software, but that is very rare) .
That said, sometimes the lack of convergence is because you are using the "wrong" solver or the wrong type of mesh and newer versions of COMSOL have more options when it comes to the choice of solver and meshing algorithm, so it that sense a new version might be "better" for a given problem.
However, I would be very surprised if a model that did not converge on one version would suddenly converge on a newer version without any changes being made.