Before revision:  The fourth-order compact finite difference scheme is then employed in each regime for solving the systemof the equations. In particular, the performance of cubic and quintic Hermite and cubic spline interpolation is explored in estimating the coupled asset, delta, gamma  and speed options in the set of equations.
After revision:  The fourth-order compact finite difference scheme can be used for solving this system. The influence of other asset, delta, gamma and speed options in the set of equations.