Before revision:  As such, it enables us to employ fourth-order spatial discretization and an adaptive time integration with Dirichlet boundary conditions for obtaining the numerical solution of the asset option, option Greeks, and the optimal exercise boundary for each regime . In the set of equations, Hermite interpolation with Newton basis is used to estimate the coupled assets options and option Greeks .
After revision:  As such, it enables us to employ fourth-order spatial discretization and an adaptive time integration with Dirichlet boundary conditions for obtaining the numerical solution of the asset option, option Greeks, and the optimal exercise boundary for each regime using fourth-order spatial discretization and adaptive time integration. In particular, the coupled assets options and option Greeks .