We discuss a finite difference scheme (FDS) for the model of Korteweg-de Vries (KdV) equation with new generalised temporal fractional derivative over bounded domain. The generalised fractional derivative (GFD) containing scale and weight functions essentially redefines new derivative for a broader class of functions. Theoretical study shows that the fractional KdV model defined on bounded domain processes dissipative property when Dirichlet boundary condition is employed. The stability and convergence of FDS are also established. Validation of theoretical analysis is shown by two numerical simulations. The numerical findings are shown via tables and figures. The effect of scale function which is appears in GFD is also presented.