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Trigonometric Cubic B - Spline Collocation Method for Time Fractional Diffusion Equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 13 مرداد 1404 اصل مقاله (2.78 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.66393.3103 | ||
| نویسندگان | ||
| Zainab Kammappa؛ Ashish Awasthi* | ||
| Department of Mathematics, National Institute of Technology Calicut, 673601, Kerala, India. | ||
| چکیده | ||
| This paper presents a numerical approach based on Cubic Trigonometric B-spline (CuTBS) interpolation for solving Time-Fractional Diffusion Equations (TFDEs) involving the Caputo-Fabrizio fractional time derivative. The CuTBS-based scheme effectively combines accurate spatial interpolations with a robust finite difference discretization for the fractional derivative, ensuring high precision in both temporal and spatial domains. The method is unconditionally stable and demonstrates second-order convergence in time and space. Numerical experiments are conducted to validate the applicability and feasibility of the technique. | ||
| کلیدواژه‌ها | ||
| Cubic Trigonometric B-spline Method؛ Caputo–Fabrizio Fractional Derivative؛ Spline Interpolation؛ Finite Difference Formulation؛ Stability | ||
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