HO-FDTD(2,4) scheme for solving time-dependent Schrödinger equation

A high-order finite-difference time-domain (HO-FDTD) method is adopted to deal with the Schrödinger equations which is time-dependent. Update equations for HO-FDTD (2, 4) scheme have been presented for wave function. The simulation results of the 1D potential well show that the high order HO-FDTD(2, 4) has the better numerical dispersion than the conventional FDTD approaches.