International Journal of Nonlinear Analysis and Applications

Study on fractional order atmospheric internal waves model by Aboodh transform homotopy perturbation method

Document Type : Research Paper

Authors

Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat-395007 (Gujarat), India

Abstract

The study of atmospheric internal waves which occur inside a fluid rather than on the surface is represented by a mathematical model named the atmospheric internal waves model. Under the shallow-fluid assumption, internal atmospheric waves are modeled by a nonlinear partial differential equation system. The proposed shallow flow model is based on the assumption that waves spread out horizontally before rising vertically. The Aboodh transform homotopy perturbation method (ATHPM) has been applied to obtain an approximate solution for a given model. This model helps to understand global atmospheric modeling, which has applications in climate and weather predictions. The ATHPM solution is compared with the  EADM solution, HAM solution, FRDTM solution, and q-HAShTM solution to examine the accuracy and efficiency of the suggested method.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 2831-2847
  • Receive Date: 21 June 2022
  • Accept Date: 15 July 2022