Numerical solution for the model of vibrating elastic membrane with moving boundary

In this work, we are interested in obtaining an approximated numerical solution for the model of vibrating elastic membranes with moving boundary. The model is an extension of Kirchhoff’s model, which takes into account the change of size during the vibration. We apply the finite element method with a finite difference method in time to obtain an approximated numerical solution. Some numerical experiments are presented to show the effect of moving boundary effects in vibrating elastic membranes.