Shoreline evolution prediction is used to investigate the beach topography in the future. There are three phenomena give a large effect to the coastal structure such as the erosion, the accretion and the water level changes. In this research, we introduce a governing equation of a one-dimensional shoreline evolution model. The introduced model is a transient one-line model. The manipulation of physical parameters for the model is proposed. The setting method of the initial condition and the boundary conditions techniques are also proposed. The traditional forward time centered space method and the unconditionally stable Saulyev finite difference methods are employed to approximate the shoreline evolution in each year. The proposed numerical models give practically simulation for long-term shoreline evolution investigation.