Truncation error analysis of a pre-asymptotic higher-order finite difference scheme for maxwell's equations

Pre-asymptotic higher-order methods are useful to the mitigation of numerical dispersion error in large-scale Finite-Difference Time-Domain (FDTD) simulations. Its truncation error is shown in this study to be 2 2 O O () () :: t s in general. In the limiting case where the CourantFriedrichs-Levy number approaches to zero, it becomes 2 4 O O () () :: t s .