Computational Solution of the Time-Fractional Schrödinger Equation by Using Trigonometric B-Spline Collocation Method

This paper proposes a numerical method to obtain an approximation solution for the time-fractional Schrödinger Equation (TFSE) based on combination of cubic trigonometric B-spline collocation and Crank-Nicolson scheme. The fractional derivative operator is described in Caputo sense. L1−approximation used discretization. Using Von Neumann stability analysis, proposed technique shown be conditionally stable. Numerical examples are solved verify accuracy effectiveness this method. error norms L2 L∞ also calculated at different values N t evaluate performance suggested