Akademik Veri Yönetim Sistemi
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, cilt.105, sa.9, 2025 (SCI-Expanded)
In this study, the improved computational scheme is designed to approximate the time fractional Burger equation (TFBE). The temporal-fractional derivative in the considered problem is expressed in terms of the Caputo derivative and approximated by utilizing L1 formula together with the (Formula presented.) -weighted scheme. In the spatial integration of the model problem, the optimal cubic B-spline technique (OCBT) equipped with higher-order approximation for the spatial second-order derivative is used. Therefore, the designed technique achieves fourth-order accuracy in space. The stability analysis, performed by using the von Neumann method, verifies that the suggested scheme is stable. In order to confirm the efficiency and the accuracy of the present technique, four numerical test problems are provided. The error norm (Formula presented.) and the rate of spatial convergence are calculated and found to be compatible with theoretical rate of convergence. Finally, the numerical outcomes reveal that the suggested computational technique has better accuracy than the other developed techniques, especially the standard cubic B-spline method.