Huseen, Shaheed N., Okposo, Newton. (1401). Analytical solutions for time-fractional Swift-Hohenberg equations via a modified integral transform technique. هنرهای کاربردی, 13(2), 2669-2684. doi: 10.22075/ijnaa.2022.26557.3384
Shaheed N. Huseen; Newton Ighomaro Okposo. "Analytical solutions for time-fractional Swift-Hohenberg equations via a modified integral transform technique". هنرهای کاربردی, 13, 2, 1401, 2669-2684. doi: 10.22075/ijnaa.2022.26557.3384
Huseen, Shaheed N., Okposo, Newton. (1401). 'Analytical solutions for time-fractional Swift-Hohenberg equations via a modified integral transform technique', هنرهای کاربردی, 13(2), pp. 2669-2684. doi: 10.22075/ijnaa.2022.26557.3384
Huseen, Shaheed N., Okposo, Newton. Analytical solutions for time-fractional Swift-Hohenberg equations via a modified integral transform technique. هنرهای کاربردی, 1401; 13(2): 2669-2684. doi: 10.22075/ijnaa.2022.26557.3384

Analytical solutions for time-fractional Swift-Hohenberg equations via a modified integral transform technique

International Journal of Nonlinear Analysis and Applications
مقاله 215، دوره 13، شماره 2، مهر 2022، صفحه 2669-2684    اصل مقاله (8.8 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26557.3384
نویسندگان
Shaheed N. Huseen1؛ Newton Ighomaro Okposo* 2
1Mathematics Department, Faculty of Computer Science and Mathematics, University of Thi-Qar, Thi-Qar, Iraq
2Department of Mathematics, Delta State University, Abraka, PMB 1, Delta State, Nigeria
چکیده
In this work, the fractional natural transform decomposition method (FNTDM) is employed to obtain approximate analytical solutions for some time-fractional versions of the nonlinear Swift-Hohenberg (S-H) equation with the fractional derivatives taken in the sense of Caputo. The S-H equation models problems arising from fluid dynamics and describes temperature dynamics of thermal convection as well as complex pattern formation processes in liquid surfaces bounded along a horizontally well-conducting boundary. To explore the applicability, simplicity, and efficiency of the FNTDM, numerical simulations are provided for each of the considered problems to demonstrate the behavior of the obtained approximate solutions for different values of the fractional parameter index. The obtained simulations show a similar resemblance with those in existing related literature and further confirm the applicability of the considered method to even complex problems arising in diverse fields of applied mathematics and physics.
کلیدواژه‌ها
Fractional Swift-Hohenberg equation؛ Caputo derivative؛ Natural transform method؛ Adomian decomposition method
مراجع
آمار
تعداد مشاهده مقاله: 44,729
تعداد دریافت فایل اصل مقاله: 54,286
دانشگاه سمنان
پیوندهای مفید
آمار
تعداد نشریات22
تعداد شماره‌ها721
تعداد مقالات10,359
تعداد مشاهده مقاله72,761,951
تعداد دریافت فایل اصل مقاله64,423,371