Numerical Solutions of the One-Dimensional Primitive Equations Using Galerkin Approximations With localized Basis Functions

Abstract

The Galerkin method is applied to a pair of functions. It is demonstrated that this system can be linear and then nonlinear primitive (wave) equations. efficiently solved by an implicit method. Numerical This results in a system of ordinary differential equations. examples show that integration using the Galerkin method Procedures are included for generating the coefficient is more efficient than the corresponding finite-difference matrices of the system of ordinary differential equations method with central differences in space.