A compact fourth order 3-step LOD-FDTD method

A compact fourth‐order unconditionally stable six‐stages split‐step FDTD method and numerical analysis

“…However, in the above of fourth-order unconditionally stable FDTD methods, involve solution of sevendiagonal matrix equations. Recently, a compact high-order scheme was used in the ADI-FDTD [14], split-step FDTD [15,16], and LOD-FDTD [17,18] methods, in which only fivediagonal matrix equations are needed to be solved, and thus higher computational efficiencies are achieved. A compact fourth-order SSCN6-FDTD method with higher computational efficiency is presented in this article, which based on reducing the bandwidth of the system involved from seven to five without sacrificing the accuracy.…”

“…However, in the above of fourth‐order unconditionally stable FDTD methods, involve solution of seven‐diagonal matrix equations. Recently, a compact high‐order scheme was used in the ADI‐FDTD , split‐step FDTD , and LOD‐FDTD methods, in which only five‐diagonal matrix equations are needed to be solved, and thus higher computational efficiencies are achieved.…”

Unconditionally stable finite-difference time-domain methods for electromagnetic compatibility and antenna modeling

“…While the Thomas algorithm can be employed to solve the tridiagonal matrix for second-order spatial accurate methods, higher order spatial accurate methods require more complex matrix solutions. The compact method has been employed for the fourth-order spatial accurate methods to improve the computational efficiency [113][114][115][116]. However, extension to inhomogeneous media has not been studied yet.…”