Mathematical modeling of atmospheric internal waves phenomenon and its solution by Elzaki Adomian decomposition method

Abstract

This article involves the study of atmospheric internal waves phenomenon, also referred to as gravity waves. This phenomenon occurs inside the fluid, not on the surface. The model is based on a shallow fluid hypothesis represented by a system of nonlinear partial differential equations. The basic assumption of the shallow flow model is that the horizontal size is much larger than the vertical size. Atmospheric internal waves can be perfectly represented by this model as the waves are spread over a large horizontal area. Here we used the Elzaki Adomian Decomposition Method (EADM) to obtain the solution for the considered model along with its convergence analysis. The Adomian decomposition method together with the Elzaki transform gives the solution in a convergent series without any linearization or perturbation. Comparisons are built between the results obtained by EADM and HAM to examine the accuracy of the proposed method.