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.
Kammappa, Z. and Awasthi, A. (2025). Trigonometric Cubic B - Spline Collocation Method for Time Fractional Diffusion Equation. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2025.66393.3103
MLA
Kammappa, Z. , and Awasthi, A. . "Trigonometric Cubic B - Spline Collocation Method for Time Fractional Diffusion Equation", Computational Methods for Differential Equations, , , 2025, -. doi: 10.22034/cmde.2025.66393.3103
HARVARD
Kammappa, Z., Awasthi, A. (2025). 'Trigonometric Cubic B - Spline Collocation Method for Time Fractional Diffusion Equation', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2025.66393.3103
CHICAGO
Z. Kammappa and A. Awasthi, "Trigonometric Cubic B - Spline Collocation Method for Time Fractional Diffusion Equation," Computational Methods for Differential Equations, (2025): -, doi: 10.22034/cmde.2025.66393.3103
VANCOUVER
Kammappa, Z., Awasthi, A. Trigonometric Cubic B - Spline Collocation Method for Time Fractional Diffusion Equation. Computational Methods for Differential Equations, 2025; (): -. doi: 10.22034/cmde.2025.66393.3103