آمار
| تعداد نشریات | 45 |
| تعداد شمارهها | 1,523 |
| تعداد مقالات | 18,578 |
| تعداد مشاهده مقاله | 60,901,793 |
| تعداد دریافت فایل اصل مقاله | 21,728,592 |
RIGOROUS STABILITY ANALYSIS OF A HIGH-ORDER FULLY DISCRETE SPECTRAL SCHEME FOR MULTI-TERM TIME-FRACTIONAL DIFFUSION EQUATIONS INVOLVING RIESZ SPACE-FRACTIONAL OPERATORS | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 مرداد 1405 اصل مقاله (1.27 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.70317.3484 | ||
| نویسندگان | ||
| Hamid Rezaei* ؛ Meysam Asadipour؛ Mohammad Hossein Derakhshan | ||
| Department of Mathematics, College of Sciences, Yasouj University, Yasouj-75914-74831, Iran. | ||
| چکیده | ||
| This manuscript investigated an efficient hybrid numerical approach for solving approximate solutions of the timefractional diffusion model of multi-term order involving the Riesz-space fractional operator. To solve this type of fractional model, the L1 approximation and the Legendre spectral approach were employed. The L1 approximation was applied to estimate the proposed fractional model in the time direction, while the Legendre spectral approach was utilized to approximate the proposed fractional model in the space direction, thereby leading to a fully discrete numerical approach. Furthermore, in this manuscript, the convergence and stability analysis of the proposed numerical approach was carried out. Finally, at the end of the article, a numerical example was presented to demonstrate the effectiveness and efficiency of the proposed method. | ||
| کلیدواژهها | ||
| Stability and convergence؛ L1 approximation؛ Riesz-space fractional operator؛ Legendre spectral approach | ||
|
آمار تعداد مشاهده مقاله: 1 |
||