Abstract
Mathematical formulation of weather prediction problems often gives rise to sets of coupled nonlinear partial differential equations which describe the interplay between the dynamic processes of advection, udjustment, and diffusion.In general, such systems of nonlinear equations are solved using numerical techniques. In this paper we consider a nonlinear singularly perturbed advection diffusion problem. Employing the usual Newton iteration method we derive an approximate linear advection diffusion problem and discuss some practical numerical methods for solving it.
