Block matrix Sinc-Galerkin solution of the wind-driven current problem

A block matrix formulation is presented for the Sinc-Galerkin technique applied to the wind-driven current problem from oceanography. The block matrix form is used to determine an approximate solution for the coupled system of differential equations describing the wind-driven current problem. The approximate solution determined by this new Sinc-Galerkin scheme is compared to the approximate solution for the original complex-valued Sinc-Galerkin approach to ocean current models. The approximate solution is also compared to exact solutions to illustrate the exponential convergence rate of the method.