This paper reports on the implementation and results obtained with a timedependent Arbitrary Lagrangian-Eulerian Finite Volume calculation for modelling the fluid-solid interface in laminar burning of solid energetic materials. The formulation is based on the conservation equations of mass, momentum and energy troughout the moving interface. Degradation-pirolysis and combustion are taken into account in the solid and gase phase, respectively. The chemical model is implemented with 7 unidirectional global reactions and 12 reactive species. The outcomes of the model are pressure, temperature, density, heat release, species concentration, gas speed and bulk burning rate. The numerical model is able to describe the main characteristics of the flame structure, including the induction (dark) zone. Burning rates and species concentration profiles are in good agreement with experimental measurements and previously published literature. The method can be used to study a variety of time-dependent processes including transient ignition, extinction, and combustion instabilities.