The diffraction of Kelvin wave due to an island

This paper describes a numerical method to determine the diffraction effect of an oceanographic Kelvin wave system by an island. A standard shallow water approximation theory is assumed for the oceanographic equation. The problem is solved in two cases, when the island is elliptic and circular in shape and when it is far or near to the coastline, also when the island becomes narrow and perpendicular to an infinitely long coastline. Numerical computation of diffraction of the Kelvin waves has been calculated and plotted.