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Numerical solution for solving fractional parabolic partial differential equations | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 03 اسفند 1399 اصل مقاله (389.18 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2021.41150.1787 | ||
| نویسندگان | ||
Jalil Rashidinia   ؛ Elham Mohmedi
| ||
| School of Mathematics, Iran University of Science and Technology, Hengam, Narmak, 168613114 Tehran, Iran. | ||
| چکیده | ||
| In this paper, A reliable numerical scheme is developed and reviewed in order to obtain approximate solution of time fractional parabolic partial differential equations. The introduced scheme is based on Legendre tau spectral approximation and the time fractional derivative is employed in the Caputo sense. TheL2convergence analysis of the numerical method is analyzed. Numerical results for different examples are examined to verify the accuracy of spectral method and justification the theoretical analysis, and to compare with other existing methods in the literatures | ||
| کلیدواژه‌ها | ||
| Fractional parabolic partial differential equations؛ Shifted Legendre Tau method؛ Caputo derivative | ||
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آمار تعداد مشاهده مقاله: 68 تعداد دریافت فایل اصل مقاله: 112 |
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