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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Kammappa, Zainab, Awasthi, Ashish. (1405). Trigonometric cubic B-spline collocation method for time-fractional diffusion equation. سامانه مدیریت نشریات علمی, 14(4), 1628-1649. doi: 10.22034/cmde.2025.66393.3103
Zainab Kammappa; Ashish Awasthi. "Trigonometric cubic B-spline collocation method for time-fractional diffusion equation". سامانه مدیریت نشریات علمی, 14, 4, 1405, 1628-1649. doi: 10.22034/cmde.2025.66393.3103
Kammappa, Zainab, Awasthi, Ashish. (1405). 'Trigonometric cubic B-spline collocation method for time-fractional diffusion equation', سامانه مدیریت نشریات علمی, 14(4), pp. 1628-1649. doi: 10.22034/cmde.2025.66393.3103
Kammappa, Zainab, Awasthi, Ashish. Trigonometric cubic B-spline collocation method for time-fractional diffusion equation. سامانه مدیریت نشریات علمی, 1405; 14(4): 1628-1649. doi: 10.22034/cmde.2025.66393.3103

Trigonometric cubic B-spline collocation method for time-fractional diffusion equation

Computational Methods for Differential Equations
مقاله 7، دوره 14، شماره 4، دی 2026، صفحه 1628-1649    اصل مقاله (1.95 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؛ Time-fractional diffusion equation؛ Caputo–Fabrizio fractional derivative؛ Spline interpolation؛ Finite difference formulation؛ Stability
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