Abstract
This research aims to study atmospheric internal waves which occur within the fluid rather than on the surface. The mathematical model of the shallow fluid hypothesis leads to a coupled nonlinear system of partial differential equations. In the shallow flow model, the primary assumption is that vertical size is smaller than horizontal size. This model can precisely replicate atmospheric internal waves because waves are dispersed over a vast horizontal area. A semi-analytical approach, namely modified differential transform, is applied successfully in this research. The proposed method obtains an approximate analytical solution in the form of convergent series without any linearization, perturbation, or calculation of unneeded terms, which is a significant advantage over other existing methods. To test the effectiveness and accuracy of the proposed method, obtained results are compared with Elzaki Adomain Decomposition Method, Modified Differential Transform Method, and Homotopy Analysis Method.
Recommended Citation
Yogeshwari, Patel and Dhodiya, Jayesh M.
(2023).
(R1966) Semi Analytical Approach to Study Mathematical Model of Atmospheric Internal Waves Phenomenon,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 18,
Iss.
1, Article 5.
Available at:
https://digitalcommons.pvamu.edu/aam/vol18/iss1/5