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Jani, Haresh, Singh, Twinkle. (1401). Solution of time fractional Swift-Hohenberg equation by Aboodh transform homotopy perturbation method. هنرهای کاربردی, 14(1), 1005-1013. doi: 10.22075/ijnaa.2022.27904.3754
Haresh P. Jani; Twinkle R Singh. "Solution of time fractional Swift-Hohenberg equation by Aboodh transform homotopy perturbation method". هنرهای کاربردی, 14, 1, 1401, 1005-1013. doi: 10.22075/ijnaa.2022.27904.3754
Jani, Haresh, Singh, Twinkle. (1401). 'Solution of time fractional Swift-Hohenberg equation by Aboodh transform homotopy perturbation method', هنرهای کاربردی, 14(1), pp. 1005-1013. doi: 10.22075/ijnaa.2022.27904.3754
Jani, Haresh, Singh, Twinkle. Solution of time fractional Swift-Hohenberg equation by Aboodh transform homotopy perturbation method. هنرهای کاربردی, 1401; 14(1): 1005-1013. doi: 10.22075/ijnaa.2022.27904.3754

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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