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An Efficient Müntz Spectral Galerkin Method for the Time-Fractional Burgers Equation | ||
| Caspian Journal of Mathematical Sciences | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 مرداد 1405 | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2026.31460.1835 | ||
| نویسنده | ||
| Mahmoud Lotfi* | ||
| Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran. | ||
| تاریخ دریافت: 25 اسفند 1404، تاریخ بازنگری: 22 خرداد 1405، تاریخ پذیرش: 22 تیر 1405 | ||
| چکیده | ||
| In this paper, we develop a Müntz spectral Galerkin method (MSGM) for solving the time-fractional Burgers equation (T-FBE) with Caputo fractional derivative. The method combines temporal discretization based on the L1-type approximation of the Caputo derivative with spatial discretization using Müntz-Legendre polynomials. We provide a detailed error analysis of the method. Several numerical examples are presented to validate the accuracy and efficiency of the proposed method. The results demonstrate that MSGM achieves high-order convergence and accurately captures the dynamics of T-FBE, in excellent agreement with exact solutions and previously published results. | ||
| کلیدواژهها | ||
| Müntz polynomials؛ spectral Galerkin method؛ time-fractional Burgers equation؛ Caputo fractional derivative | ||
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آمار تعداد مشاهده مقاله: 13 |
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