In this paper, we construct a numerical ‎ method‎ to ‎ the ‎ solution ‎ of‎ the Black-Scholes partial differential equation modeling the European option pricing problem with regard to a single asset‎.‎ We use an explicit spline-difference scheme which is based on using a finite difference approximation for the temporal derivative and a cubic B-spline collocation for spatial derivatives.‎ The derived method leads to a tri-diagonal linear system. The stability of this method has been discussed and shown to be unconditionally stable. The computational performance of the proposed scheme is compared with those obtained by using a scheme based on the radial basis function.