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Solution of time fractional Swift-Hohenberg equation by Aboodh transform homotopy perturbation method | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 77، دوره 14، شماره 1، فروردین 2023، صفحه 1005-1013 اصل مقاله (967.87 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27904.3754 | ||
| نویسندگان | ||
| Haresh P. Jani* 1؛ Twinkle R Singh2 | ||
| 1Shri S'ad Vidya Mandal Institute of Technology, Bharuch-392001 (Gujarat), India | ||
| 2Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat-395007 (Gujarat), India | ||
| تاریخ دریافت: 02 مرداد 1401، تاریخ بازنگری: 21 مهر 1401، تاریخ پذیرش: 29 مهر 1401 | ||
| چکیده | ||
| In this study, the Aboodh transform homotopy perturbation method has been used to solve fractional differential equations. The Swift–Hohenberg equation accurately explains the creation and evolution of patterns in a wide range of systems. The Swift-Hohenberg (S-H) model is linked to fluid dynamics, temperature, and thermal convection. The problem's convergence analysis is displayed. All of the Surface representation graphs are also represented using MAPLE. ATHPM solution has been compared with the exact solution and LADM to check the accuracy of the proposed method. | ||
| کلیدواژه‌ها | ||
| Swift Hohenberg (S-H) equation؛ fractional differential equation؛ Aboodh transform؛ Homotopy perturbation method | ||
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