A novel approach to approximate solution of time fractional gas dynamics equation with Atangana–Baleanu derivative

This research paper investigates a numerical scheme based on cubic B-spline functions for solving the time fractional gas dynamics equation incorporating the Atangana–Baleanu derivative. The Atangana–Baleanu time fractional derivative has been approximated by adopting the typical finite difference formulation while the cubic B-spline functions are employed to accomplish spatial discretization. A conditional bound for stability has been derived and a convergence analysis for cubic B-spline interpolation is conducted to measure the accuracy of the solution. The effectiveness and accuracy of the proposed method are tested through numerical simulations. Graphical and tabular results are exhibited to evaluate the outcomes of the proposed strategy. The major advantage of the suggested scheme is that the algorithm is straightforward to carry out.