آمار
| تعداد نشریات | 43 |
| تعداد شماره‌ها | 1,262 |
| تعداد مقالات | 15,535 |
| تعداد مشاهده مقاله | 51,553,352 |
| تعداد دریافت فایل اصل مقاله | 14,493,475 |
A Novel Hybrid Approach to Approximate fractional Sub-Diffusion Equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 27 خرداد 1403 اصل مقاله (1.09 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.58832.2491 | ||
| نویسندگان | ||
| Mahboubeh Molavi-Arabshahi* ؛ Jalil Rashidinia؛ Mahnaz Yousefi | ||
| School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak 16844, Tehran, Iran. | ||
| چکیده | ||
| This article introduces a new numerical hybrid approach based on an operational matrix and spectral technique to solve Caputo fractional sub-diffusion equations. This method transform the model into a set of nonlinear algebraic equation system. Chebyshev polynomials are used as basis function. The study includes theoretical analysis to demonstrate the convergence and error bounds of the proposed method. Two test problems are conducted to illustrate the method's accuracy. The results indicate the efficiency of the proposed method. | ||
| کلیدواژه‌ها | ||
| Fractional sub-diffusion equation؛ Operational matrix؛ Spectral collocation method | ||
|
آمار تعداد مشاهده مقاله: 34 تعداد دریافت فایل اصل مقاله: 74 |
||