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

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.

کلیدواژه ها:

Cubic Trigonometric B-spline Method ، Time-fractional diffusion equation ، Caputo–Fabrizio Fractional Derivative ، Spline Interpolation ، Finite Difference Formulation ، Stability