A B-Spline Quasi Interpolation Crank–Nicolson Scheme for Solving the Coupled Burgers Equations with the Caputo–Fabrizio Derivative

In this paper, a Crank–Nicolson finite difference scheme based on cubic B-spline quasi-interpolation has been derived for the solution of coupled Burgers equations with Caputo–Fabrizio derivative. The first- and second-order spatial derivatives have approximated by first second quasi-interpolation. discrete obtained in way constitutes system algebraic associated bi-pentadiagonal matrix. We show that proposed is unconditionally stable. Numerical examples are provided to verify efficiency method.