In this paper an explicit ﬁnite-difference time-domain scheme for solving the Maxwell’s equations in non-staggered grids is presented. The proposed scheme for solving the Faraday’s and Ampe`re’s equations in a theoretical manner is aimed to preserve discrete zero-divergence for the electric and magnetic ﬁelds. The inherent local conservation laws in Maxwell’s equations are also preserved discretely all the time using the explicit second-order accurate symplectic partitioned Runge-Kutta scheme. Theremainingspatialderivativetermsinthesemi-discretizedFaraday’sandAmpe`re’s equations are then discretized to provide an accurate mathematical dispersion relation equation that governs the numerical angular frequency and the wavenumbers in two space dimensions. To achieve the goal of getting the best dispersive characteristics, we proposeafourth-orderaccuratespacecenteredscheme whichminimizes thedifference between the exact and numerical dispersion relationequations. Through the computational exercises, the proposeddual-preservingsolver is computationally demonstrated to be efﬁcient for use to predict the long-term accurate Maxwell’s solutions.