2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80131Waves in excitable media can be treated by a simple geometric theory. The propagation velocity is assumed known and evolution of wave fronts is determined by elementary physical principles (Fermat's principle, Huygens' principle). Based on this geometric theory a fast computational method is developed. By this method the distorting effect of the spatial grid is avoided. The method is applied to the cases when a circular obstacle is surrounded by a homogeneous and heterogeneous medium, respectively. The numerical simulations show that the method is convenient, fast and reliable.Pattern Formation and SolitonsA fast method to simulate travelling waves in nonhomogeneous chemical or biological mediatext