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Two-dimensional temporal fractional advection-diffusion problem resolved through the Sinc-Galerkin method | ||
| Computational Methods for Differential Equations | ||
| مقاله 23، دوره 13، شماره 3، مهر 2025، صفحه 1047-1058 اصل مقاله (584.04 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.60039.2560 | ||
| نویسندگان | ||
| Ali Safaei1؛ Amir Hossein Salehi Shayegan2؛ Mohammad Shahriari* 1 | ||
| 1Department of Mathematics, Faculty of Science, University of Maragheh, Box 55136-553, Maragheh, Iran. | ||
| 2Department of Mathematics n, Faculty of Basic Science, Khatam-ol-Anbia (PBU) University, Tehran, Iran. | ||
| چکیده | ||
| The Sinc-Galerkin method, even for issues spanning infinite and semi-infinite intervals, is known as exponentially fading mistakes and, in certain circumstances, as the optimum convergence rate. Additionally, this approach does not suffer from the normal instability issues that often arise in other methods. Therefore, a numerical technique based on the Sinc-Galerkin method is devised in this study to solve the two-dimensional time fractional advection diffusion problem. To be precise, the spatial and temporal discretizations of the Sinc-Galerkin and finite difference methods are coupled to provide the suggested approach. Additionally, the suggested method’s convergence is looked at. Two numerical examples are provided in depth in the conclusion to demonstrate the effectiveness and precision of the suggested approach. | ||
| کلیدواژهها | ||
| Time fractional advection-diffusion equation؛ Sinc-Galerkin method؛ Caputo’s fractional derivative؛ Convergence analysis | ||
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