NUMERICAL APPROXIMATION OF TIME-FRACTIONAL KLEIN–GORDON EQUATION USING B-SPLINE COLLOCATION TECHNIQUES

This study proposes a numerical technique based on a hybrid cubic B-Spline function for obtaining approximate solutions to the time-fractional Klein-Gordon equation. Fractional derivative is discretized using a finite difference approach in Caputo sense, while the spatial domain is handled through the application of a hybrid cubic B-Spline scheme on a structured grid. To assess the accuracy and performance of the method, some computational experiments have been conducted. The outcomes demonstrate that the proposed technique delivers superior accuracy and computational efficiency when compared to several existing schemes in the literature.