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On theoretical and numerical analysis of Time-Fractional Fornberg-Whitham Equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 مهر 1404 اصل مقاله (1.5 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.65002.2966 | ||
| نویسندگان | ||
| Hassan Kamil Jassim* 1؛ Mohammed Taimah Yasser2 | ||
| 1Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Iraq. | ||
| 2Department of Mathematics, Faculty of Education, Al-Ayen Iraqi University, Thi-Qar, Iraq. | ||
| چکیده | ||
| In this study, the Atangana-Baleanu fractional operator was employed with the Fornberg-Witham equation to investigate The computational solutions to this equation. The existence and uniqueness of the solution were proven using precise mathematical conditions that ensure their validity. Furthermore, the convergence of the approximated solutions derived through the use of the Yang-Daftardar-Jafari Method (YDJM) to the exact solutions was verified. The effectiveness of the proposed method was tested by applying it to two illustrative examples. The results demonstrated that the solutions obtained through this method exhibit high accuracy and align well with the analytical solutions under certain conditions, which highlights the efficiency of the method in handling nonlinear fractional differential equations. | ||
| کلیدواژهها | ||
| Daftardar-Jafari iteration method؛ Yang Transform؛ Fornberg–Witham equation؛ Atangana–Baleanu fractional derivative | ||
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آمار تعداد مشاهده مقاله: 134 تعداد دریافت فایل اصل مقاله: 65 |
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