  We consider a finite element approximation for a system consisting of the
evolution of a curve evolving by forced curve shortening flow coupled to a
reaction-diffusion equation on the evolving curve. The curve evolves inside a
given domain $\Omega\subset \mathbb{R}^2$ and meets $\partial \Omega$
orthogonally. The scheme for the coupled system is based on the schemes derived
in [BDS17] and [DE98]. We present numerical experiments and show the
experimental order of convergence of the approximation.
