Sinc collocation-interpolation method for the simulation of nonlinear waves

Numerical simulation is of great importance in the study of nonlinear waves, where several delicate aspects must be dealt with. The presence of spatial and time gradients, of complex nonlinearities and high order derivatives, in fact generates various complex problems. This paper develops a collocation-interpolation method based on interpolation by the Sine functions. After a description of the method, several examples are shown. These show the good results that can be obtained, the efficency and stability of the method, and the low computing time.