Spectral Method for a Barotropic Model

Abstract

Spectral Methods are one of the most powerful solution techniques for ordinary and partial differential equations. In this research, the spectral method is applied to a barotropic model. The barotropic model is a simple model for the atmosphere. The spectral method has an advantage over finite difference methods because it has no truncation error. The spectral barotropic model is tested with a standard test case Rossby-Haurwitz wave, which has an analytic solution