Study on fractional order atmospheric internal waves model by Aboodh transform homotopy perturbation method | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 228، دوره 13، شماره 2، مهر 2022، صفحه 2831-2847 اصل مقاله (4.13 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27566.3651 | ||
| نویسندگان | ||
| Haresh P. Jani* ؛ Twinkle R Singh | ||
| Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat-395007 (Gujarat), India | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Atmospheric internal waves؛ Fractional order nonlinear partial differential equation؛ Homotopy perturbation method؛ Aboodh transform؛ climate and weather predictions | ||
| مراجع | ||
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